Finding the Third Proportional to 51,401 and 80,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,401 : 80,651.50 = 80,651.50 : x
2. Step 2: Convert to fraction form
   51,401/80,651.50 = 80,651.50/x
3. Step 3: Cross multiply
   51,401x = 80,651.50 × 80,651.50
4. Step 4: Simplify right side
   51,401x = 6,504,664,452.25
5. Step 5: Solve for x
   x = 6,504,664,452.25/51,401
6. Step 6: Final answer
   x = 126,547.43