Finding the Third Proportional to 32,890 and 71,042

Step by Step Solution

1. Step 1: Write the proportion equation
   32,890 : 71,042 = 71,042 : x
2. Step 2: Convert to fraction form
   32,890/71,042 = 71,042/x
3. Step 3: Cross multiply
   32,890x = 71,042 × 71,042
4. Step 4: Simplify right side
   32,890x = 5,046,965,764
5. Step 5: Solve for x
   x = 5,046,965,764/32,890
6. Step 6: Final answer
   x = 153,449.86