Finding the Third Proportional to 8,635.50 and 9,429.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,635.50 : 9,429.75 = 9,429.75 : x
2. Step 2: Convert to fraction form
   8,635.50/9,429.75 = 9,429.75/x
3. Step 3: Cross multiply
   8,635.50x = 9,429.75 × 9,429.75
4. Step 4: Simplify right side
   8,635.50x = 88,920,185.06
5. Step 5: Solve for x
   x = 88,920,185.06/8,635.50
6. Step 6: Final answer
   x = 10,297.05