Finding the Third Proportional to 14,538 and 16,050

Step by Step Solution

1. Step 1: Write the proportion equation
   14,538 : 16,050 = 16,050 : x
2. Step 2: Convert to fraction form
   14,538/16,050 = 16,050/x
3. Step 3: Cross multiply
   14,538x = 16,050 × 16,050
4. Step 4: Simplify right side
   14,538x = 257,602,500
5. Step 5: Solve for x
   x = 257,602,500/14,538
6. Step 6: Final answer
   x = 17,719.25