Finding the Third Proportional to 8,178.47 and 12,264.86

Step by Step Solution

1. Step 1: Write the proportion equation
   8,178.47 : 12,264.86 = 12,264.86 : x
2. Step 2: Convert to fraction form
   8,178.47/12,264.86 = 12,264.86/x
3. Step 3: Cross multiply
   8,178.47x = 12,264.86 × 12,264.86
4. Step 4: Simplify right side
   8,178.47x = 150,426,679.67
5. Step 5: Solve for x
   x = 150,426,679.67/8,178.47
6. Step 6: Final answer
   x = 18,393.01