Finding the Third Proportional to 17,678.25 and 38,910.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678.25 : 38,910.38 = 38,910.38 : x
2. Step 2: Convert to fraction form
   17,678.25/38,910.38 = 38,910.38/x
3. Step 3: Cross multiply
   17,678.25x = 38,910.38 × 38,910.38
4. Step 4: Simplify right side
   17,678.25x = 1,514,017,282.64
5. Step 5: Solve for x
   x = 1,514,017,282.64/17,678.25
6. Step 6: Final answer
   x = 85,642.94