Finding the Third Proportional to 2,680.59 and 5,885.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680.59 : 5,885.16 = 5,885.16 : x
2. Step 2: Convert to fraction form
   2,680.59/5,885.16 = 5,885.16/x
3. Step 3: Cross multiply
   2,680.59x = 5,885.16 × 5,885.16
4. Step 4: Simplify right side
   2,680.59x = 34,635,064.09
5. Step 5: Solve for x
   x = 34,635,064.09/2,680.59
6. Step 6: Final answer
   x = 12,920.67