Finding the Third Proportional to 1,145.81 and 2,552.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.81 : 2,552.06 = 2,552.06 : x
2. Step 2: Convert to fraction form
   1,145.81/2,552.06 = 2,552.06/x
3. Step 3: Cross multiply
   1,145.81x = 2,552.06 × 2,552.06
4. Step 4: Simplify right side
   1,145.81x = 6,513,023.00
5. Step 5: Solve for x
   x = 6,513,023.00/1,145.81
6. Step 6: Final answer
   x = 5,684.20