Finding the Third Proportional to 14,256 and 21,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,256 : 21,262.50 = 21,262.50 : x
2. Step 2: Convert to fraction form
   14,256/21,262.50 = 21,262.50/x
3. Step 3: Cross multiply
   14,256x = 21,262.50 × 21,262.50
4. Step 4: Simplify right side
   14,256x = 452,093,906.25
5. Step 5: Solve for x
   x = 452,093,906.25/14,256
6. Step 6: Final answer
   x = 31,712.54