Finding the Third Proportional to 5,726.74 and 8,385.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,726.74 : 8,385.40 = 8,385.40 : x
2. Step 2: Convert to fraction form
   5,726.74/8,385.40 = 8,385.40/x
3. Step 3: Cross multiply
   5,726.74x = 8,385.40 × 8,385.40
4. Step 4: Simplify right side
   5,726.74x = 70,314,906.96
5. Step 5: Solve for x
   x = 70,314,906.96/5,726.74
6. Step 6: Final answer
   x = 12,278.34