Finding the Third Proportional to 5,288.06 and 8,199.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,288.06 : 8,199.56 = 8,199.56 : x
2. Step 2: Convert to fraction form
   5,288.06/8,199.56 = 8,199.56/x
3. Step 3: Cross multiply
   5,288.06x = 8,199.56 × 8,199.56
4. Step 4: Simplify right side
   5,288.06x = 67,232,825.19
5. Step 5: Solve for x
   x = 67,232,825.19/5,288.06
6. Step 6: Final answer
   x = 12,714.08