Finding the Third Proportional to 1,221.88 and 2,686.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,221.88 : 2,686.75 = 2,686.75 : x
2. Step 2: Convert to fraction form
   1,221.88/2,686.75 = 2,686.75/x
3. Step 3: Cross multiply
   1,221.88x = 2,686.75 × 2,686.75
4. Step 4: Simplify right side
   1,221.88x = 7,218,625.56
5. Step 5: Solve for x
   x = 7,218,625.56/1,221.88
6. Step 6: Final answer
   x = 5,907.83