Finding the Third Proportional to 6,435 and 9,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,435 : 9,669.50 = 9,669.50 : x
2. Step 2: Convert to fraction form
   6,435/9,669.50 = 9,669.50/x
3. Step 3: Cross multiply
   6,435x = 9,669.50 × 9,669.50
4. Step 4: Simplify right side
   6,435x = 93,499,230.25
5. Step 5: Solve for x
   x = 93,499,230.25/6,435
6. Step 6: Final answer
   x = 14,529.79