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Finding the Third Proportional to 6,978 and 9,747

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Solution

The third proportional to 6,978 and 9,747 is: 13,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 9,747 = 9,747 : x
  2. Step 2: Convert to fraction form
    6,978/9,747 = 9,747/x
  3. Step 3: Cross multiply
    6,978x = 9,747 × 9,747
  4. Step 4: Simplify right side
    6,978x = 95,004,009
  5. Step 5: Solve for x
    x = 95,004,009/6,978
  6. Step 6: Final answer
    x = 13,614.79

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