Finding the Third Proportional to 1,187.75 and 2,601.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.75 : 2,601.25 = 2,601.25 : x
2. Step 2: Convert to fraction form
   1,187.75/2,601.25 = 2,601.25/x
3. Step 3: Cross multiply
   1,187.75x = 2,601.25 × 2,601.25
4. Step 4: Simplify right side
   1,187.75x = 6,766,501.56
5. Step 5: Solve for x
   x = 6,766,501.56/1,187.75
6. Step 6: Final answer
   x = 5,696.91