Finding the Third Proportional to 12,114 and 16,361

Step by Step Solution

1. Step 1: Write the proportion equation
   12,114 : 16,361 = 16,361 : x
2. Step 2: Convert to fraction form
   12,114/16,361 = 16,361/x
3. Step 3: Cross multiply
   12,114x = 16,361 × 16,361
4. Step 4: Simplify right side
   12,114x = 267,682,321
5. Step 5: Solve for x
   x = 267,682,321/12,114
6. Step 6: Final answer
   x = 22,096.94