Finding the Third Proportional to 5,734.13 and 12,209.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,734.13 : 12,209.06 = 12,209.06 : x
2. Step 2: Convert to fraction form
   5,734.13/12,209.06 = 12,209.06/x
3. Step 3: Cross multiply
   5,734.13x = 12,209.06 × 12,209.06
4. Step 4: Simplify right side
   5,734.13x = 149,061,207.13
5. Step 5: Solve for x
   x = 149,061,207.13/5,734.13
6. Step 6: Final answer
   x = 25,995.46