Finding the Third Proportional to 14,410.38 and 31,429.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,410.38 : 31,429.63 = 31,429.63 : x
2. Step 2: Convert to fraction form
   14,410.38/31,429.63 = 31,429.63/x
3. Step 3: Cross multiply
   14,410.38x = 31,429.63 × 31,429.63
4. Step 4: Simplify right side
   14,410.38x = 987,821,327.64
5. Step 5: Solve for x
   x = 987,821,327.64/14,410.38
6. Step 6: Final answer
   x = 68,549.31