Finding the Third Proportional to 6,735 and 7,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,735 : 7,423.50 = 7,423.50 : x
2. Step 2: Convert to fraction form
   6,735/7,423.50 = 7,423.50/x
3. Step 3: Cross multiply
   6,735x = 7,423.50 × 7,423.50
4. Step 4: Simplify right side
   6,735x = 55,108,352.25
5. Step 5: Solve for x
   x = 55,108,352.25/6,735
6. Step 6: Final answer
   x = 8,182.38