Finding the Third Proportional to 5,423.06 and 7,587.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,423.06 : 7,587.75 = 7,587.75 : x
2. Step 2: Convert to fraction form
   5,423.06/7,587.75 = 7,587.75/x
3. Step 3: Cross multiply
   5,423.06x = 7,587.75 × 7,587.75
4. Step 4: Simplify right side
   5,423.06x = 57,573,950.06
5. Step 5: Solve for x
   x = 57,573,950.06/5,423.06
6. Step 6: Final answer
   x = 10,616.50