Finding the Third Proportional to 9,738 and 16,254

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 16,254 = 16,254 : x
2. Step 2: Convert to fraction form
   9,738/16,254 = 16,254/x
3. Step 3: Cross multiply
   9,738x = 16,254 × 16,254
4. Step 4: Simplify right side
   9,738x = 264,192,516
5. Step 5: Solve for x
   x = 264,192,516/9,738
6. Step 6: Final answer
   x = 27,130.06