Finding the Third Proportional to 6,978 and 10,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 10,152.75 = 10,152.75 : x
2. Step 2: Convert to fraction form
   6,978/10,152.75 = 10,152.75/x
3. Step 3: Cross multiply
   6,978x = 10,152.75 × 10,152.75
4. Step 4: Simplify right side
   6,978x = 103,078,332.56
5. Step 5: Solve for x
   x = 103,078,332.56/6,978
6. Step 6: Final answer
   x = 14,771.90