Finding the Third Proportional to 2,663.13 and 5,806.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,663.13 : 5,806.91 = 5,806.91 : x
2. Step 2: Convert to fraction form
   2,663.13/5,806.91 = 5,806.91/x
3. Step 3: Cross multiply
   2,663.13x = 5,806.91 × 5,806.91
4. Step 4: Simplify right side
   2,663.13x = 33,720,160.20
5. Step 5: Solve for x
   x = 33,720,160.20/2,663.13
6. Step 6: Final answer
   x = 12,661.88