Finding the Third Proportional to 5,665.50 and 8,817.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.50 : 8,817.75 = 8,817.75 : x
2. Step 2: Convert to fraction form
   5,665.50/8,817.75 = 8,817.75/x
3. Step 3: Cross multiply
   5,665.50x = 8,817.75 × 8,817.75
4. Step 4: Simplify right side
   5,665.50x = 77,752,715.06
5. Step 5: Solve for x
   x = 77,752,715.06/5,665.50
6. Step 6: Final answer
   x = 13,723.89