Finding the Third Proportional to 31,545 and 40,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,545 : 40,909.50 = 40,909.50 : x
2. Step 2: Convert to fraction form
   31,545/40,909.50 = 40,909.50/x
3. Step 3: Cross multiply
   31,545x = 40,909.50 × 40,909.50
4. Step 4: Simplify right side
   31,545x = 1,673,587,190.25
5. Step 5: Solve for x
   x = 1,673,587,190.25/31,545
6. Step 6: Final answer
   x = 53,053.96