Finding the Third Proportional to 20,106 and 31,077

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 31,077 = 31,077 : x
2. Step 2: Convert to fraction form
   20,106/31,077 = 31,077/x
3. Step 3: Cross multiply
   20,106x = 31,077 × 31,077
4. Step 4: Simplify right side
   20,106x = 965,779,929
5. Step 5: Solve for x
   x = 965,779,929/20,106
6. Step 6: Final answer
   x = 48,034.41