Finding the Third Proportional to 5,214.38 and 8,080.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214.38 : 8,080.59 = 8,080.59 : x
2. Step 2: Convert to fraction form
   5,214.38/8,080.59 = 8,080.59/x
3. Step 3: Cross multiply
   5,214.38x = 8,080.59 × 8,080.59
4. Step 4: Simplify right side
   5,214.38x = 65,295,995.35
5. Step 5: Solve for x
   x = 65,295,995.35/5,214.38
6. Step 6: Final answer
   x = 12,522.31