Finding the Third Proportional to 1,186.31 and 2,610.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.31 : 2,610.56 = 2,610.56 : x
2. Step 2: Convert to fraction form
   1,186.31/2,610.56 = 2,610.56/x
3. Step 3: Cross multiply
   1,186.31x = 2,610.56 × 2,610.56
4. Step 4: Simplify right side
   1,186.31x = 6,815,036.57
5. Step 5: Solve for x
   x = 6,815,036.57/1,186.31
6. Step 6: Final answer
   x = 5,744.72