Finding the Third Proportional to 17,686 and 38,139

Step by Step Solution

1. Step 1: Write the proportion equation
   17,686 : 38,139 = 38,139 : x
2. Step 2: Convert to fraction form
   17,686/38,139 = 38,139/x
3. Step 3: Cross multiply
   17,686x = 38,139 × 38,139
4. Step 4: Simplify right side
   17,686x = 1,454,583,321
5. Step 5: Solve for x
   x = 1,454,583,321/17,686
6. Step 6: Final answer
   x = 82,244.90