Finding the Third Proportional to 2,725.50 and 5,807.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,725.50 : 5,807.63 = 5,807.63 : x
2. Step 2: Convert to fraction form
   2,725.50/5,807.63 = 5,807.63/x
3. Step 3: Cross multiply
   2,725.50x = 5,807.63 × 5,807.63
4. Step 4: Simplify right side
   2,725.50x = 33,728,508.14
5. Step 5: Solve for x
   x = 33,728,508.14/2,725.50
6. Step 6: Final answer
   x = 12,375.16