Finding the Third Proportional to 17,674.31 and 38,115.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17,674.31 : 38,115.38 = 38,115.38 : x
2. Step 2: Convert to fraction form
   17,674.31/38,115.38 = 38,115.38/x
3. Step 3: Cross multiply
   17,674.31x = 38,115.38 × 38,115.38
4. Step 4: Simplify right side
   17,674.31x = 1,452,781,811.39
5. Step 5: Solve for x
   x = 1,452,781,811.39/17,674.31
6. Step 6: Final answer
   x = 82,197.36