Finding the Third Proportional to 12,077 and 16,251

Step by Step Solution

1. Step 1: Write the proportion equation
   12,077 : 16,251 = 16,251 : x
2. Step 2: Convert to fraction form
   12,077/16,251 = 16,251/x
3. Step 3: Cross multiply
   12,077x = 16,251 × 16,251
4. Step 4: Simplify right side
   12,077x = 264,095,001
5. Step 5: Solve for x
   x = 264,095,001/12,077
6. Step 6: Final answer
   x = 21,867.60