Finding the Third Proportional to 32,888 and 71,320

Step by Step Solution

1. Step 1: Write the proportion equation
   32,888 : 71,320 = 71,320 : x
2. Step 2: Convert to fraction form
   32,888/71,320 = 71,320/x
3. Step 3: Cross multiply
   32,888x = 71,320 × 71,320
4. Step 4: Simplify right side
   32,888x = 5,086,542,400
5. Step 5: Solve for x
   x = 5,086,542,400/32,888
6. Step 6: Final answer
   x = 154,662.56