Finding the Third Proportional to 1,155.94 and 2,523.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.94 : 2,523.23 = 2,523.23 : x
2. Step 2: Convert to fraction form
   1,155.94/2,523.23 = 2,523.23/x
3. Step 3: Cross multiply
   1,155.94x = 2,523.23 × 2,523.23
4. Step 4: Simplify right side
   1,155.94x = 6,366,711.71
5. Step 5: Solve for x
   x = 6,366,711.71/1,155.94
6. Step 6: Final answer
   x = 5,507.83