Finding the Third Proportional to 4,135.50 and 9,111.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,135.50 : 9,111.38 = 9,111.38 : x
2. Step 2: Convert to fraction form
   4,135.50/9,111.38 = 9,111.38/x
3. Step 3: Cross multiply
   4,135.50x = 9,111.38 × 9,111.38
4. Step 4: Simplify right side
   4,135.50x = 83,017,154.39
5. Step 5: Solve for x
   x = 83,017,154.39/4,135.50
6. Step 6: Final answer
   x = 20,074.27