Finding the Third Proportional to 14,538 and 17,850

Step by Step Solution

1. Step 1: Write the proportion equation
   14,538 : 17,850 = 17,850 : x
2. Step 2: Convert to fraction form
   14,538/17,850 = 17,850/x
3. Step 3: Cross multiply
   14,538x = 17,850 × 17,850
4. Step 4: Simplify right side
   14,538x = 318,622,500
5. Step 5: Solve for x
   x = 318,622,500/14,538
6. Step 6: Final answer
   x = 21,916.53