Finding the Third Proportional to 7,914 and 12,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,914 : 12,721.50 = 12,721.50 : x
2. Step 2: Convert to fraction form
   7,914/12,721.50 = 12,721.50/x
3. Step 3: Cross multiply
   7,914x = 12,721.50 × 12,721.50
4. Step 4: Simplify right side
   7,914x = 161,836,562.25
5. Step 5: Solve for x
   x = 161,836,562.25/7,914
6. Step 6: Final answer
   x = 20,449.40