Finding the Third Proportional to 3,401 and 8,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,401 : 8,069.50 = 8,069.50 : x
2. Step 2: Convert to fraction form
   3,401/8,069.50 = 8,069.50/x
3. Step 3: Cross multiply
   3,401x = 8,069.50 × 8,069.50
4. Step 4: Simplify right side
   3,401x = 65,116,830.25
5. Step 5: Solve for x
   x = 65,116,830.25/3,401
6. Step 6: Final answer
   x = 19,146.38