Finding the Third Proportional to 42,065 and 91,966

Step by Step Solution

1. Step 1: Write the proportion equation
   42,065 : 91,966 = 91,966 : x
2. Step 2: Convert to fraction form
   42,065/91,966 = 91,966/x
3. Step 3: Cross multiply
   42,065x = 91,966 × 91,966
4. Step 4: Simplify right side
   42,065x = 8,457,745,156
5. Step 5: Solve for x
   x = 8,457,745,156/42,065
6. Step 6: Final answer
   x = 201,063.71