Finding the Third Proportional to 42,084 and 91,701

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 91,701 = 91,701 : x
2. Step 2: Convert to fraction form
   42,084/91,701 = 91,701/x
3. Step 3: Cross multiply
   42,084x = 91,701 × 91,701
4. Step 4: Simplify right side
   42,084x = 8,409,073,401
5. Step 5: Solve for x
   x = 8,409,073,401/42,084
6. Step 6: Final answer
   x = 199,816.40