Finding the Third Proportional to 14,493 and 31,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,493 : 31,753.50 = 31,753.50 : x
2. Step 2: Convert to fraction form
   14,493/31,753.50 = 31,753.50/x
3. Step 3: Cross multiply
   14,493x = 31,753.50 × 31,753.50
4. Step 4: Simplify right side
   14,493x = 1,008,284,762.25
5. Step 5: Solve for x
   x = 1,008,284,762.25/14,493
6. Step 6: Final answer
   x = 69,570.47