Finding the Third Proportional to 17,566 and 38,042

Step by Step Solution

1. Step 1: Write the proportion equation
   17,566 : 38,042 = 38,042 : x
2. Step 2: Convert to fraction form
   17,566/38,042 = 38,042/x
3. Step 3: Cross multiply
   17,566x = 38,042 × 38,042
4. Step 4: Simplify right side
   17,566x = 1,447,193,764
5. Step 5: Solve for x
   x = 1,447,193,764/17,566
6. Step 6: Final answer
   x = 82,386.07