Finding the Third Proportional to 13,540.50 and 21,512.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,540.50 : 21,512.25 = 21,512.25 : x
2. Step 2: Convert to fraction form
   13,540.50/21,512.25 = 21,512.25/x
3. Step 3: Cross multiply
   13,540.50x = 21,512.25 × 21,512.25
4. Step 4: Simplify right side
   13,540.50x = 462,776,900.06
5. Step 5: Solve for x
   x = 462,776,900.06/13,540.50
6. Step 6: Final answer
   x = 34,177.24