Finding the Third Proportional to 4,729.50 and 11,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,729.50 : 11,128.50 = 11,128.50 : x
2. Step 2: Convert to fraction form
   4,729.50/11,128.50 = 11,128.50/x
3. Step 3: Cross multiply
   4,729.50x = 11,128.50 × 11,128.50
4. Step 4: Simplify right side
   4,729.50x = 123,843,512.25
5. Step 5: Solve for x
   x = 123,843,512.25/4,729.50
6. Step 6: Final answer
   x = 26,185.33