Finding the Third Proportional to 2,553.50 and 5,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.50 : 5,585.50 = 5,585.50 : x
2. Step 2: Convert to fraction form
   2,553.50/5,585.50 = 5,585.50/x
3. Step 3: Cross multiply
   2,553.50x = 5,585.50 × 5,585.50
4. Step 4: Simplify right side
   2,553.50x = 31,197,810.25
5. Step 5: Solve for x
   x = 31,197,810.25/2,553.50
6. Step 6: Final answer
   x = 12,217.67