Finding the Third Proportional to 5,158.69 and 5,606.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.69 : 5,606.72 = 5,606.72 : x
2. Step 2: Convert to fraction form
   5,158.69/5,606.72 = 5,606.72/x
3. Step 3: Cross multiply
   5,158.69x = 5,606.72 × 5,606.72
4. Step 4: Simplify right side
   5,158.69x = 31,435,295.14
5. Step 5: Solve for x
   x = 31,435,295.14/5,158.69
6. Step 6: Final answer
   x = 6,093.66