Finding the Third Proportional to 32,534 and 69,280

Step by Step Solution

1. Step 1: Write the proportion equation
   32,534 : 69,280 = 69,280 : x
2. Step 2: Convert to fraction form
   32,534/69,280 = 69,280/x
3. Step 3: Cross multiply
   32,534x = 69,280 × 69,280
4. Step 4: Simplify right side
   32,534x = 4,799,718,400
5. Step 5: Solve for x
   x = 4,799,718,400/32,534
6. Step 6: Final answer
   x = 147,529.30