Finding the Third Proportional to 1,158.75 and 2,685.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.75 : 2,685.38 = 2,685.38 : x
2. Step 2: Convert to fraction form
   1,158.75/2,685.38 = 2,685.38/x
3. Step 3: Cross multiply
   1,158.75x = 2,685.38 × 2,685.38
4. Step 4: Simplify right side
   1,158.75x = 7,211,238.89
5. Step 5: Solve for x
   x = 7,211,238.89/1,158.75
6. Step 6: Final answer
   x = 6,223.29