Finding the Third Proportional to 32,797 and 71,434

Step by Step Solution

1. Step 1: Write the proportion equation
   32,797 : 71,434 = 71,434 : x
2. Step 2: Convert to fraction form
   32,797/71,434 = 71,434/x
3. Step 3: Cross multiply
   32,797x = 71,434 × 71,434
4. Step 4: Simplify right side
   32,797x = 5,102,816,356
5. Step 5: Solve for x
   x = 5,102,816,356/32,797
6. Step 6: Final answer
   x = 155,587.90