Finding the Third Proportional to 5,321.81 and 8,057.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,321.81 : 8,057.06 = 8,057.06 : x
2. Step 2: Convert to fraction form
   5,321.81/8,057.06 = 8,057.06/x
3. Step 3: Cross multiply
   5,321.81x = 8,057.06 × 8,057.06
4. Step 4: Simplify right side
   5,321.81x = 64,916,256.13
5. Step 5: Solve for x
   x = 64,916,256.13/5,321.81
6. Step 6: Final answer
   x = 12,198.15