Finding the Third Proportional to 5,588.05 and 8,080.70

Step by Step Solution

1. Step 1: Write the proportion equation
   5,588.05 : 8,080.70 = 8,080.70 : x
2. Step 2: Convert to fraction form
   5,588.05/8,080.70 = 8,080.70/x
3. Step 3: Cross multiply
   5,588.05x = 8,080.70 × 8,080.70
4. Step 4: Simplify right side
   5,588.05x = 65,297,699.86
5. Step 5: Solve for x
   x = 65,297,699.86/5,588.05
6. Step 6: Final answer
   x = 11,685.24