Finding the Third Proportional to 40,784.50 and 71,561

Step by Step Solution

1. Step 1: Write the proportion equation
   40,784.50 : 71,561 = 71,561 : x
2. Step 2: Convert to fraction form
   40,784.50/71,561 = 71,561/x
3. Step 3: Cross multiply
   40,784.50x = 71,561 × 71,561
4. Step 4: Simplify right side
   40,784.50x = 5,120,976,721
5. Step 5: Solve for x
   x = 5,120,976,721/40,784.50
6. Step 6: Final answer
   x = 125,561.84