Finding the Third Proportional to 1,049.88 and 1,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.88 : 1,138.25 = 1,138.25 : x
2. Step 2: Convert to fraction form
   1,049.88/1,138.25 = 1,138.25/x
3. Step 3: Cross multiply
   1,049.88x = 1,138.25 × 1,138.25
4. Step 4: Simplify right side
   1,049.88x = 1,295,613.06
5. Step 5: Solve for x
   x = 1,295,613.06/1,049.88
6. Step 6: Final answer
   x = 1,234.06