Finding the Third Proportional to 14,238 and 21,701.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,238 : 21,701.25 = 21,701.25 : x
2. Step 2: Convert to fraction form
   14,238/21,701.25 = 21,701.25/x
3. Step 3: Cross multiply
   14,238x = 21,701.25 × 21,701.25
4. Step 4: Simplify right side
   14,238x = 470,944,251.56
5. Step 5: Solve for x
   x = 470,944,251.56/14,238
6. Step 6: Final answer
   x = 33,076.57