Finding the Third Proportional to 5,113.13 and 7,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,113.13 : 7,501.50 = 7,501.50 : x
2. Step 2: Convert to fraction form
   5,113.13/7,501.50 = 7,501.50/x
3. Step 3: Cross multiply
   5,113.13x = 7,501.50 × 7,501.50
4. Step 4: Simplify right side
   5,113.13x = 56,272,502.25
5. Step 5: Solve for x
   x = 56,272,502.25/5,113.13
6. Step 6: Final answer
   x = 11,005.50