Finding the Third Proportional to 1,152.56 and 2,527.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.56 : 2,527.88 = 2,527.88 : x
2. Step 2: Convert to fraction form
   1,152.56/2,527.88 = 2,527.88/x
3. Step 3: Cross multiply
   1,152.56x = 2,527.88 × 2,527.88
4. Step 4: Simplify right side
   1,152.56x = 6,390,152.02
5. Step 5: Solve for x
   x = 6,390,152.02/1,152.56
6. Step 6: Final answer
   x = 5,544.30