Finding the Third Proportional to 5,201.61 and 7,360.17

Step by Step Solution

1. Step 1: Write the proportion equation
   5,201.61 : 7,360.17 = 7,360.17 : x
2. Step 2: Convert to fraction form
   5,201.61/7,360.17 = 7,360.17/x
3. Step 3: Cross multiply
   5,201.61x = 7,360.17 × 7,360.17
4. Step 4: Simplify right side
   5,201.61x = 54,172,130.03
5. Step 5: Solve for x
   x = 54,172,130.03/5,201.61
6. Step 6: Final answer
   x = 10,414.49