Finding the Third Proportional to 17,761 and 38,114

Step by Step Solution

1. Step 1: Write the proportion equation
   17,761 : 38,114 = 38,114 : x
2. Step 2: Convert to fraction form
   17,761/38,114 = 38,114/x
3. Step 3: Cross multiply
   17,761x = 38,114 × 38,114
4. Step 4: Simplify right side
   17,761x = 1,452,676,996
5. Step 5: Solve for x
   x = 1,452,676,996/17,761
6. Step 6: Final answer
   x = 81,790.27