Finding the Third Proportional to 2,527.50 and 5,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.50 : 5,497.50 = 5,497.50 : x
2. Step 2: Convert to fraction form
   2,527.50/5,497.50 = 5,497.50/x
3. Step 3: Cross multiply
   2,527.50x = 5,497.50 × 5,497.50
4. Step 4: Simplify right side
   2,527.50x = 30,222,506.25
5. Step 5: Solve for x
   x = 30,222,506.25/2,527.50
6. Step 6: Final answer
   x = 11,957.47