Finding the Third Proportional to 17,662 and 38,366

Step by Step Solution

1. Step 1: Write the proportion equation
   17,662 : 38,366 = 38,366 : x
2. Step 2: Convert to fraction form
   17,662/38,366 = 38,366/x
3. Step 3: Cross multiply
   17,662x = 38,366 × 38,366
4. Step 4: Simplify right side
   17,662x = 1,471,949,956
5. Step 5: Solve for x
   x = 1,471,949,956/17,662
6. Step 6: Final answer
   x = 83,339.94