Finding the Third Proportional to 20,122 and 42,842

Step by Step Solution

1. Step 1: Write the proportion equation
   20,122 : 42,842 = 42,842 : x
2. Step 2: Convert to fraction form
   20,122/42,842 = 42,842/x
3. Step 3: Cross multiply
   20,122x = 42,842 × 42,842
4. Step 4: Simplify right side
   20,122x = 1,835,436,964
5. Step 5: Solve for x
   x = 1,835,436,964/20,122
6. Step 6: Final answer
   x = 91,215.43