Finding the Third Proportional to 1,114.59 and 2,405.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.59 : 2,405.53 = 2,405.53 : x
2. Step 2: Convert to fraction form
   1,114.59/2,405.53 = 2,405.53/x
3. Step 3: Cross multiply
   1,114.59x = 2,405.53 × 2,405.53
4. Step 4: Simplify right side
   1,114.59x = 5,786,580.59
5. Step 5: Solve for x
   x = 5,786,580.59/1,114.59
6. Step 6: Final answer
   x = 5,191.65