Finding the Third Proportional to 3,429 and 7,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,429 : 7,456.50 = 7,456.50 : x
2. Step 2: Convert to fraction form
   3,429/7,456.50 = 7,456.50/x
3. Step 3: Cross multiply
   3,429x = 7,456.50 × 7,456.50
4. Step 4: Simplify right side
   3,429x = 55,599,392.25
5. Step 5: Solve for x
   x = 55,599,392.25/3,429
6. Step 6: Final answer
   x = 16,214.46