Finding the Third Proportional to 32,584 and 71,398

Step by Step Solution

1. Step 1: Write the proportion equation
   32,584 : 71,398 = 71,398 : x
2. Step 2: Convert to fraction form
   32,584/71,398 = 71,398/x
3. Step 3: Cross multiply
   32,584x = 71,398 × 71,398
4. Step 4: Simplify right side
   32,584x = 5,097,674,404
5. Step 5: Solve for x
   x = 5,097,674,404/32,584
6. Step 6: Final answer
   x = 156,447.16