Finding the Third Proportional to 1,182.94 and 2,593.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.94 : 2,593.69 = 2,593.69 : x
2. Step 2: Convert to fraction form
   1,182.94/2,593.69 = 2,593.69/x
3. Step 3: Cross multiply
   1,182.94x = 2,593.69 × 2,593.69
4. Step 4: Simplify right side
   1,182.94x = 6,727,214.85
5. Step 5: Solve for x
   x = 6,727,214.85/1,182.94
6. Step 6: Final answer
   x = 5,686.87