Finding the Third Proportional to 5,077.50 and 5,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 5,725.50 = 5,725.50 : x
2. Step 2: Convert to fraction form
   5,077.50/5,725.50 = 5,725.50/x
3. Step 3: Cross multiply
   5,077.50x = 5,725.50 × 5,725.50
4. Step 4: Simplify right side
   5,077.50x = 32,781,350.25
5. Step 5: Solve for x
   x = 32,781,350.25/5,077.50
6. Step 6: Final answer
   x = 6,456.20