Finding the Third Proportional to 14,016 and 21,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,016 : 21,127.50 = 21,127.50 : x
2. Step 2: Convert to fraction form
   14,016/21,127.50 = 21,127.50/x
3. Step 3: Cross multiply
   14,016x = 21,127.50 × 21,127.50
4. Step 4: Simplify right side
   14,016x = 446,371,256.25
5. Step 5: Solve for x
   x = 446,371,256.25/14,016
6. Step 6: Final answer
   x = 31,847.26