Finding the Third Proportional to 1,167.86 and 1,756.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.86 : 1,756.69 = 1,756.69 : x
2. Step 2: Convert to fraction form
   1,167.86/1,756.69 = 1,756.69/x
3. Step 3: Cross multiply
   1,167.86x = 1,756.69 × 1,756.69
4. Step 4: Simplify right side
   1,167.86x = 3,085,950.97
5. Step 5: Solve for x
   x = 3,085,950.97/1,167.86
6. Step 6: Final answer
   x = 2,642.41