Finding the Third Proportional to 14,661 and 31,077

Step by Step Solution

1. Step 1: Write the proportion equation
   14,661 : 31,077 = 31,077 : x
2. Step 2: Convert to fraction form
   14,661/31,077 = 31,077/x
3. Step 3: Cross multiply
   14,661x = 31,077 × 31,077
4. Step 4: Simplify right side
   14,661x = 965,779,929
5. Step 5: Solve for x
   x = 965,779,929/14,661
6. Step 6: Final answer
   x = 65,874.08