Finding the Third Proportional to 5,380.13 and 8,224.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,380.13 : 8,224.31 = 8,224.31 : x
2. Step 2: Convert to fraction form
   5,380.13/8,224.31 = 8,224.31/x
3. Step 3: Cross multiply
   5,380.13x = 8,224.31 × 8,224.31
4. Step 4: Simplify right side
   5,380.13x = 67,639,316.10
5. Step 5: Solve for x
   x = 67,639,316.10/5,380.13
6. Step 6: Final answer
   x = 12,572.07