Finding the Third Proportional to 5,308.31 and 8,213.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,308.31 : 8,213.06 = 8,213.06 : x
2. Step 2: Convert to fraction form
   5,308.31/8,213.06 = 8,213.06/x
3. Step 3: Cross multiply
   5,308.31x = 8,213.06 × 8,213.06
4. Step 4: Simplify right side
   5,308.31x = 67,454,395.63
5. Step 5: Solve for x
   x = 67,454,395.63/5,308.31
6. Step 6: Final answer
   x = 12,707.31