Finding the Third Proportional to 8,094.38 and 17,686.13

Step by Step Solution

1. Step 1: Write the proportion equation
   8,094.38 : 17,686.13 = 17,686.13 : x
2. Step 2: Convert to fraction form
   8,094.38/17,686.13 = 17,686.13/x
3. Step 3: Cross multiply
   8,094.38x = 17,686.13 × 17,686.13
4. Step 4: Simplify right side
   8,094.38x = 312,799,017.52
5. Step 5: Solve for x
   x = 312,799,017.52/8,094.38
6. Step 6: Final answer
   x = 38,644.00