Finding the Third Proportional to 8,038.78 and 17,414.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,038.78 : 17,414.06 = 17,414.06 : x
2. Step 2: Convert to fraction form
   8,038.78/17,414.06 = 17,414.06/x
3. Step 3: Cross multiply
   8,038.78x = 17,414.06 × 17,414.06
4. Step 4: Simplify right side
   8,038.78x = 303,249,572.75
5. Step 5: Solve for x
   x = 303,249,572.75/8,038.78
6. Step 6: Final answer
   x = 37,723.33