Finding the Third Proportional to 32,353 and 71,210

Step by Step Solution

1. Step 1: Write the proportion equation
   32,353 : 71,210 = 71,210 : x
2. Step 2: Convert to fraction form
   32,353/71,210 = 71,210/x
3. Step 3: Cross multiply
   32,353x = 71,210 × 71,210
4. Step 4: Simplify right side
   32,353x = 5,070,864,100
5. Step 5: Solve for x
   x = 5,070,864,100/32,353
6. Step 6: Final answer
   x = 156,735.51