Finding the Third Proportional to 1,164.38 and 1,785.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.38 : 1,785.38 = 1,785.38 : x
2. Step 2: Convert to fraction form
   1,164.38/1,785.38 = 1,785.38/x
3. Step 3: Cross multiply
   1,164.38x = 1,785.38 × 1,785.38
4. Step 4: Simplify right side
   1,164.38x = 3,187,563.89
5. Step 5: Solve for x
   x = 3,187,563.89/1,164.38
6. Step 6: Final answer
   x = 2,737.58