Finding the Third Proportional to 32,562 and 71,358

Step by Step Solution

1. Step 1: Write the proportion equation
   32,562 : 71,358 = 71,358 : x
2. Step 2: Convert to fraction form
   32,562/71,358 = 71,358/x
3. Step 3: Cross multiply
   32,562x = 71,358 × 71,358
4. Step 4: Simplify right side
   32,562x = 5,091,964,164
5. Step 5: Solve for x
   x = 5,091,964,164/32,562
6. Step 6: Final answer
   x = 156,377.50