Finding the Third Proportional to 6,565.78 and 14,407.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,565.78 : 14,407.31 = 14,407.31 : x
2. Step 2: Convert to fraction form
   6,565.78/14,407.31 = 14,407.31/x
3. Step 3: Cross multiply
   6,565.78x = 14,407.31 × 14,407.31
4. Step 4: Simplify right side
   6,565.78x = 207,570,653.47
5. Step 5: Solve for x
   x = 207,570,653.47/6,565.78
6. Step 6: Final answer
   x = 31,614.01