Finding the Third Proportional to 9,463.50 and 10,830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,463.50 : 10,830.38 = 10,830.38 : x
2. Step 2: Convert to fraction form
   9,463.50/10,830.38 = 10,830.38/x
3. Step 3: Cross multiply
   9,463.50x = 10,830.38 × 10,830.38
4. Step 4: Simplify right side
   9,463.50x = 117,297,022.64
5. Step 5: Solve for x
   x = 117,297,022.64/9,463.50
6. Step 6: Final answer
   x = 12,394.68