Finding the Third Proportional to 1,148.55 and 2,491.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.55 : 2,491.59 = 2,491.59 : x
2. Step 2: Convert to fraction form
   1,148.55/2,491.59 = 2,491.59/x
3. Step 3: Cross multiply
   1,148.55x = 2,491.59 × 2,491.59
4. Step 4: Simplify right side
   1,148.55x = 6,208,039.42
5. Step 5: Solve for x
   x = 6,208,039.42/1,148.55
6. Step 6: Final answer
   x = 5,405.09