Finding the Third Proportional to 32,536 and 67,624

Step by Step Solution

1. Step 1: Write the proportion equation
   32,536 : 67,624 = 67,624 : x
2. Step 2: Convert to fraction form
   32,536/67,624 = 67,624/x
3. Step 3: Cross multiply
   32,536x = 67,624 × 67,624
4. Step 4: Simplify right side
   32,536x = 4,573,005,376
5. Step 5: Solve for x
   x = 4,573,005,376/32,536
6. Step 6: Final answer
   x = 140,552.17