Finding the Third Proportional to 1,150.50 and 2,509.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.50 : 2,509.88 = 2,509.88 : x
2. Step 2: Convert to fraction form
   1,150.50/2,509.88 = 2,509.88/x
3. Step 3: Cross multiply
   1,150.50x = 2,509.88 × 2,509.88
4. Step 4: Simplify right side
   1,150.50x = 6,299,472.52
5. Step 5: Solve for x
   x = 6,299,472.52/1,150.50
6. Step 6: Final answer
   x = 5,475.42