Finding the Third Proportional to 5,380.17 and 8,309.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,380.17 : 8,309.46 = 8,309.46 : x
2. Step 2: Convert to fraction form
   5,380.17/8,309.46 = 8,309.46/x
3. Step 3: Cross multiply
   5,380.17x = 8,309.46 × 8,309.46
4. Step 4: Simplify right side
   5,380.17x = 69,047,141.07
5. Step 5: Solve for x
   x = 69,047,141.07/5,380.17
6. Step 6: Final answer
   x = 12,833.63