Finding the Third Proportional to 5,113.13 and 7,940.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,113.13 : 7,940.53 = 7,940.53 : x
2. Step 2: Convert to fraction form
   5,113.13/7,940.53 = 7,940.53/x
3. Step 3: Cross multiply
   5,113.13x = 7,940.53 × 7,940.53
4. Step 4: Simplify right side
   5,113.13x = 63,052,036.53
5. Step 5: Solve for x
   x = 63,052,036.53/5,113.13
6. Step 6: Final answer
   x = 12,331.41