Finding the Third Proportional to 12,138.75 and 16,400.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,138.75 : 16,400.25 = 16,400.25 : x
2. Step 2: Convert to fraction form
   12,138.75/16,400.25 = 16,400.25/x
3. Step 3: Cross multiply
   12,138.75x = 16,400.25 × 16,400.25
4. Step 4: Simplify right side
   12,138.75x = 268,968,200.06
5. Step 5: Solve for x
   x = 268,968,200.06/12,138.75
6. Step 6: Final answer
   x = 22,157.82