Finding the Third Proportional to 2,690.63 and 5,806.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,690.63 : 5,806.13 = 5,806.13 : x
2. Step 2: Convert to fraction form
   2,690.63/5,806.13 = 5,806.13/x
3. Step 3: Cross multiply
   2,690.63x = 5,806.13 × 5,806.13
4. Step 4: Simplify right side
   2,690.63x = 33,711,087.52
5. Step 5: Solve for x
   x = 33,711,087.52/2,690.63
6. Step 6: Final answer
   x = 12,529.09