Finding the Third Proportional to 5,906.25 and 12,723.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.25 : 12,723.75 = 12,723.75 : x
2. Step 2: Convert to fraction form
   5,906.25/12,723.75 = 12,723.75/x
3. Step 3: Cross multiply
   5,906.25x = 12,723.75 × 12,723.75
4. Step 4: Simplify right side
   5,906.25x = 161,893,814.06
5. Step 5: Solve for x
   x = 161,893,814.06/5,906.25
6. Step 6: Final answer
   x = 27,410.59