Finding the Third Proportional to 59,162 and 91,661

Step by Step Solution

1. Step 1: Write the proportion equation
   59,162 : 91,661 = 91,661 : x
2. Step 2: Convert to fraction form
   59,162/91,661 = 91,661/x
3. Step 3: Cross multiply
   59,162x = 91,661 × 91,661
4. Step 4: Simplify right side
   59,162x = 8,401,738,921
5. Step 5: Solve for x
   x = 8,401,738,921/59,162
6. Step 6: Final answer
   x = 142,012.42