Finding the Third Proportional to 8,178.38 and 17,426.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,178.38 : 17,426.63 = 17,426.63 : x
2. Step 2: Convert to fraction form
   8,178.38/17,426.63 = 17,426.63/x
3. Step 3: Cross multiply
   8,178.38x = 17,426.63 × 17,426.63
4. Step 4: Simplify right side
   8,178.38x = 303,687,258.89
5. Step 5: Solve for x
   x = 303,687,258.89/8,178.38
6. Step 6: Final answer
   x = 37,132.96