Finding the Third Proportional to 5,077.50 and 7,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 7,385.25 = 7,385.25 : x
2. Step 2: Convert to fraction form
   5,077.50/7,385.25 = 7,385.25/x
3. Step 3: Cross multiply
   5,077.50x = 7,385.25 × 7,385.25
4. Step 4: Simplify right side
   5,077.50x = 54,541,917.56
5. Step 5: Solve for x
   x = 54,541,917.56/5,077.50
6. Step 6: Final answer
   x = 10,741.88