Finding the Third Proportional to 13,614 and 20,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,614 : 20,821.50 = 20,821.50 : x
2. Step 2: Convert to fraction form
   13,614/20,821.50 = 20,821.50/x
3. Step 3: Cross multiply
   13,614x = 20,821.50 × 20,821.50
4. Step 4: Simplify right side
   13,614x = 433,534,862.25
5. Step 5: Solve for x
   x = 433,534,862.25/13,614
6. Step 6: Final answer
   x = 31,844.78