Finding the Third Proportional to 32,582 and 71,416

Step by Step Solution

1. Step 1: Write the proportion equation
   32,582 : 71,416 = 71,416 : x
2. Step 2: Convert to fraction form
   32,582/71,416 = 71,416/x
3. Step 3: Cross multiply
   32,582x = 71,416 × 71,416
4. Step 4: Simplify right side
   32,582x = 5,100,245,056
5. Step 5: Solve for x
   x = 5,100,245,056/32,582
6. Step 6: Final answer
   x = 156,535.67