Finding the Third Proportional to 20,114 and 41,762

Step by Step Solution

1. Step 1: Write the proportion equation
   20,114 : 41,762 = 41,762 : x
2. Step 2: Convert to fraction form
   20,114/41,762 = 41,762/x
3. Step 3: Cross multiply
   20,114x = 41,762 × 41,762
4. Step 4: Simplify right side
   20,114x = 1,744,064,644
5. Step 5: Solve for x
   x = 1,744,064,644/20,114
6. Step 6: Final answer
   x = 86,708.99