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Finding the Third Proportional to 768 and 891

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Solution

The third proportional to 768 and 891 is: 1,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 891 = 891 : x
  2. Step 2: Convert to fraction form
    768/891 = 891/x
  3. Step 3: Cross multiply
    768x = 891 × 891
  4. Step 4: Simplify right side
    768x = 793,881
  5. Step 5: Solve for x
    x = 793,881/768
  6. Step 6: Final answer
    x = 1,033.70

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