Finding the Third Proportional to 5,290.31 and 8,020.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,290.31 : 8,020.69 = 8,020.69 : x
2. Step 2: Convert to fraction form
   5,290.31/8,020.69 = 8,020.69/x
3. Step 3: Cross multiply
   5,290.31x = 8,020.69 × 8,020.69
4. Step 4: Simplify right side
   5,290.31x = 64,331,427.97
5. Step 5: Solve for x
   x = 64,331,427.97/5,290.31
6. Step 6: Final answer
   x = 12,160.23