Finding the Third Proportional to 32,886 and 71,604

Step by Step Solution

1. Step 1: Write the proportion equation
   32,886 : 71,604 = 71,604 : x
2. Step 2: Convert to fraction form
   32,886/71,604 = 71,604/x
3. Step 3: Cross multiply
   32,886x = 71,604 × 71,604
4. Step 4: Simplify right side
   32,886x = 5,127,132,816
5. Step 5: Solve for x
   x = 5,127,132,816/32,886
6. Step 6: Final answer
   x = 155,906.25