Finding the Third Proportional to 42,326 and 91,022

Step by Step Solution

1. Step 1: Write the proportion equation
   42,326 : 91,022 = 91,022 : x
2. Step 2: Convert to fraction form
   42,326/91,022 = 91,022/x
3. Step 3: Cross multiply
   42,326x = 91,022 × 91,022
4. Step 4: Simplify right side
   42,326x = 8,285,004,484
5. Step 5: Solve for x
   x = 8,285,004,484/42,326
6. Step 6: Final answer
   x = 195,742.68