Finding the Third Proportional to 41,922 and 89,842

Step by Step Solution

1. Step 1: Write the proportion equation
   41,922 : 89,842 = 89,842 : x
2. Step 2: Convert to fraction form
   41,922/89,842 = 89,842/x
3. Step 3: Cross multiply
   41,922x = 89,842 × 89,842
4. Step 4: Simplify right side
   41,922x = 8,071,584,964
5. Step 5: Solve for x
   x = 8,071,584,964/41,922
6. Step 6: Final answer
   x = 192,538.17