Finding the Third Proportional to 2,235 and 5,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,235 : 5,047.50 = 5,047.50 : x
2. Step 2: Convert to fraction form
   2,235/5,047.50 = 5,047.50/x
3. Step 3: Cross multiply
   2,235x = 5,047.50 × 5,047.50
4. Step 4: Simplify right side
   2,235x = 25,477,256.25
5. Step 5: Solve for x
   x = 25,477,256.25/2,235
6. Step 6: Final answer
   x = 11,399.22