Finding the Third Proportional to 6,423 and 10,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,423 : 10,306.50 = 10,306.50 : x
2. Step 2: Convert to fraction form
   6,423/10,306.50 = 10,306.50/x
3. Step 3: Cross multiply
   6,423x = 10,306.50 × 10,306.50
4. Step 4: Simplify right side
   6,423x = 106,223,942.25
5. Step 5: Solve for x
   x = 106,223,942.25/6,423
6. Step 6: Final answer
   x = 16,538.06