Finding the Third Proportional to 14,238 and 21,278.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,238 : 21,278.25 = 21,278.25 : x
2. Step 2: Convert to fraction form
   14,238/21,278.25 = 21,278.25/x
3. Step 3: Cross multiply
   14,238x = 21,278.25 × 21,278.25
4. Step 4: Simplify right side
   14,238x = 452,763,923.06
5. Step 5: Solve for x
   x = 452,763,923.06/14,238
6. Step 6: Final answer
   x = 31,799.69