Finding the Third Proportional to 5,836.13 and 12,806.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836.13 : 12,806.06 = 12,806.06 : x
2. Step 2: Convert to fraction form
   5,836.13/12,806.06 = 12,806.06/x
3. Step 3: Cross multiply
   5,836.13x = 12,806.06 × 12,806.06
4. Step 4: Simplify right side
   5,836.13x = 163,995,236.75
5. Step 5: Solve for x
   x = 163,995,236.75/5,836.13
6. Step 6: Final answer
   x = 28,100.02