Finding the Third Proportional to 14,978.25 and 31,691.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,978.25 : 31,691.25 = 31,691.25 : x
2. Step 2: Convert to fraction form
   14,978.25/31,691.25 = 31,691.25/x
3. Step 3: Cross multiply
   14,978.25x = 31,691.25 × 31,691.25
4. Step 4: Simplify right side
   14,978.25x = 1,004,335,326.56
5. Step 5: Solve for x
   x = 1,004,335,326.56/14,978.25
6. Step 6: Final answer
   x = 67,052.92