Finding the Third Proportional to 14,022 and 30,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,022 : 30,769.50 = 30,769.50 : x
2. Step 2: Convert to fraction form
   14,022/30,769.50 = 30,769.50/x
3. Step 3: Cross multiply
   14,022x = 30,769.50 × 30,769.50
4. Step 4: Simplify right side
   14,022x = 946,762,130.25
5. Step 5: Solve for x
   x = 946,762,130.25/14,022
6. Step 6: Final answer
   x = 67,519.76