Finding the Third Proportional to 32,352 and 71,208

Step by Step Solution

1. Step 1: Write the proportion equation
   32,352 : 71,208 = 71,208 : x
2. Step 2: Convert to fraction form
   32,352/71,208 = 71,208/x
3. Step 3: Cross multiply
   32,352x = 71,208 × 71,208
4. Step 4: Simplify right side
   32,352x = 5,070,579,264
5. Step 5: Solve for x
   x = 5,070,579,264/32,352
6. Step 6: Final answer
   x = 156,731.55