Finding the Third Proportional to 7,544.50 and 11,085.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,544.50 : 11,085.38 = 11,085.38 : x
2. Step 2: Convert to fraction form
   7,544.50/11,085.38 = 11,085.38/x
3. Step 3: Cross multiply
   7,544.50x = 11,085.38 × 11,085.38
4. Step 4: Simplify right side
   7,544.50x = 122,885,538.89
5. Step 5: Solve for x
   x = 122,885,538.89/7,544.50
6. Step 6: Final answer
   x = 16,288.10