Finding the Third Proportional to 3,414 and 7,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,414 : 7,495.50 = 7,495.50 : x
2. Step 2: Convert to fraction form
   3,414/7,495.50 = 7,495.50/x
3. Step 3: Cross multiply
   3,414x = 7,495.50 × 7,495.50
4. Step 4: Simplify right side
   3,414x = 56,182,520.25
5. Step 5: Solve for x
   x = 56,182,520.25/3,414
6. Step 6: Final answer
   x = 16,456.51