Finding the Third Proportional to 1,189.50 and 2,610

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.50 : 2,610 = 2,610 : x
2. Step 2: Convert to fraction form
   1,189.50/2,610 = 2,610/x
3. Step 3: Cross multiply
   1,189.50x = 2,610 × 2,610
4. Step 4: Simplify right side
   1,189.50x = 6,812,100
5. Step 5: Solve for x
   x = 6,812,100/1,189.50
6. Step 6: Final answer
   x = 5,726.86