Finding the Third Proportional to 1,215.84 and 2,658.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.84 : 2,658.66 = 2,658.66 : x
2. Step 2: Convert to fraction form
   1,215.84/2,658.66 = 2,658.66/x
3. Step 3: Cross multiply
   1,215.84x = 2,658.66 × 2,658.66
4. Step 4: Simplify right side
   1,215.84x = 7,068,453.06
5. Step 5: Solve for x
   x = 7,068,453.06/1,215.84
6. Step 6: Final answer
   x = 5,813.62