Finding the Third Proportional to 1,223.16 and 2,886.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.16 : 2,886.89 = 2,886.89 : x
2. Step 2: Convert to fraction form
   1,223.16/2,886.89 = 2,886.89/x
3. Step 3: Cross multiply
   1,223.16x = 2,886.89 × 2,886.89
4. Step 4: Simplify right side
   1,223.16x = 8,334,137.48
5. Step 5: Solve for x
   x = 8,334,137.48/1,223.16
6. Step 6: Final answer
   x = 6,813.63