Finding the Third Proportional to 32,469 and 67,534

Step by Step Solution

1. Step 1: Write the proportion equation
   32,469 : 67,534 = 67,534 : x
2. Step 2: Convert to fraction form
   32,469/67,534 = 67,534/x
3. Step 3: Cross multiply
   32,469x = 67,534 × 67,534
4. Step 4: Simplify right side
   32,469x = 4,560,841,156
5. Step 5: Solve for x
   x = 4,560,841,156/32,469
6. Step 6: Final answer
   x = 140,467.56