Finding the Third Proportional to 2,699.58 and 5,586.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,699.58 : 5,586.47 = 5,586.47 : x
2. Step 2: Convert to fraction form
   2,699.58/5,586.47 = 5,586.47/x
3. Step 3: Cross multiply
   2,699.58x = 5,586.47 × 5,586.47
4. Step 4: Simplify right side
   2,699.58x = 31,208,633.09
5. Step 5: Solve for x
   x = 31,208,633.09/2,699.58
6. Step 6: Final answer
   x = 11,560.56