Finding the Third Proportional to 2,592.75 and 5,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.75 : 5,665.50 = 5,665.50 : x
2. Step 2: Convert to fraction form
   2,592.75/5,665.50 = 5,665.50/x
3. Step 3: Cross multiply
   2,592.75x = 5,665.50 × 5,665.50
4. Step 4: Simplify right side
   2,592.75x = 32,097,890.25
5. Step 5: Solve for x
   x = 32,097,890.25/2,592.75
6. Step 6: Final answer
   x = 12,379.86