Finding the Third Proportional to 3,406.50 and 7,124.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,406.50 : 7,124.25 = 7,124.25 : x
2. Step 2: Convert to fraction form
   3,406.50/7,124.25 = 7,124.25/x
3. Step 3: Cross multiply
   3,406.50x = 7,124.25 × 7,124.25
4. Step 4: Simplify right side
   3,406.50x = 50,754,938.06
5. Step 5: Solve for x
   x = 50,754,938.06/3,406.50
6. Step 6: Final answer
   x = 14,899.44