Finding the Third Proportional to 41,964 and 89,022

Step by Step Solution

1. Step 1: Write the proportion equation
   41,964 : 89,022 = 89,022 : x
2. Step 2: Convert to fraction form
   41,964/89,022 = 89,022/x
3. Step 3: Cross multiply
   41,964x = 89,022 × 89,022
4. Step 4: Simplify right side
   41,964x = 7,924,916,484
5. Step 5: Solve for x
   x = 7,924,916,484/41,964
6. Step 6: Final answer
   x = 188,850.36