Finding the Third Proportional to 1,195.88 and 2,635.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,195.88 : 2,635.31 = 2,635.31 : x
2. Step 2: Convert to fraction form
   1,195.88/2,635.31 = 2,635.31/x
3. Step 3: Cross multiply
   1,195.88x = 2,635.31 × 2,635.31
4. Step 4: Simplify right side
   1,195.88x = 6,944,871.97
5. Step 5: Solve for x
   x = 6,944,871.97/1,195.88
6. Step 6: Final answer
   x = 5,807.36