Finding the Third Proportional to 32,569.50 and 67,731

Step by Step Solution

1. Step 1: Write the proportion equation
   32,569.50 : 67,731 = 67,731 : x
2. Step 2: Convert to fraction form
   32,569.50/67,731 = 67,731/x
3. Step 3: Cross multiply
   32,569.50x = 67,731 × 67,731
4. Step 4: Simplify right side
   32,569.50x = 4,587,488,361
5. Step 5: Solve for x
   x = 4,587,488,361/32,569.50
6. Step 6: Final answer
   x = 140,852.28