Finding the Third Proportional to 1,175.91 and 2,785.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.91 : 2,785.78 = 2,785.78 : x
2. Step 2: Convert to fraction form
   1,175.91/2,785.78 = 2,785.78/x
3. Step 3: Cross multiply
   1,175.91x = 2,785.78 × 2,785.78
4. Step 4: Simplify right side
   1,175.91x = 7,760,577.17
5. Step 5: Solve for x
   x = 7,760,577.17/1,175.91
6. Step 6: Final answer
   x = 6,599.66