Finding the Third Proportional to 1,054.69 and 1,137.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.69 : 1,137.38 = 1,137.38 : x
2. Step 2: Convert to fraction form
   1,054.69/1,137.38 = 1,137.38/x
3. Step 3: Cross multiply
   1,054.69x = 1,137.38 × 1,137.38
4. Step 4: Simplify right side
   1,054.69x = 1,293,621.89
5. Step 5: Solve for x
   x = 1,293,621.89/1,054.69
6. Step 6: Final answer
   x = 1,226.55