Finding the Third Proportional to 2,702.53 and 5,864.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,702.53 : 5,864.06 = 5,864.06 : x
2. Step 2: Convert to fraction form
   2,702.53/5,864.06 = 5,864.06/x
3. Step 3: Cross multiply
   2,702.53x = 5,864.06 × 5,864.06
4. Step 4: Simplify right side
   2,702.53x = 34,387,229.00
5. Step 5: Solve for x
   x = 34,387,229.00/2,702.53
6. Step 6: Final answer
   x = 12,724.08