Finding the Third Proportional to 1,170.19 and 1,762.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,170.19 : 1,762.69 = 1,762.69 : x
2. Step 2: Convert to fraction form
   1,170.19/1,762.69 = 1,762.69/x
3. Step 3: Cross multiply
   1,170.19x = 1,762.69 × 1,762.69
4. Step 4: Simplify right side
   1,170.19x = 3,107,067.22
5. Step 5: Solve for x
   x = 3,107,067.22/1,170.19
6. Step 6: Final answer
   x = 2,655.19