Finding the Third Proportional to 5,693.75 and 12,238.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,693.75 : 12,238.25 = 12,238.25 : x
2. Step 2: Convert to fraction form
   5,693.75/12,238.25 = 12,238.25/x
3. Step 3: Cross multiply
   5,693.75x = 12,238.25 × 12,238.25
4. Step 4: Simplify right side
   5,693.75x = 149,774,763.06
5. Step 5: Solve for x
   x = 149,774,763.06/5,693.75
6. Step 6: Final answer
   x = 26,305.12