Finding the Third Proportional to 17,766 and 38,662

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 38,662 = 38,662 : x
2. Step 2: Convert to fraction form
   17,766/38,662 = 38,662/x
3. Step 3: Cross multiply
   17,766x = 38,662 × 38,662
4. Step 4: Simplify right side
   17,766x = 1,494,750,244
5. Step 5: Solve for x
   x = 1,494,750,244/17,766
6. Step 6: Final answer
   x = 84,135.44