Finding the Third Proportional to 1,174.50 and 2,527.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174.50 : 2,527.45 = 2,527.45 : x
2. Step 2: Convert to fraction form
   1,174.50/2,527.45 = 2,527.45/x
3. Step 3: Cross multiply
   1,174.50x = 2,527.45 × 2,527.45
4. Step 4: Simplify right side
   1,174.50x = 6,388,019.30
5. Step 5: Solve for x
   x = 6,388,019.30/1,174.50
6. Step 6: Final answer
   x = 5,438.93