Finding the Third Proportional to 1,137.94 and 1,829.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.94 : 1,829.25 = 1,829.25 : x
2. Step 2: Convert to fraction form
   1,137.94/1,829.25 = 1,829.25/x
3. Step 3: Cross multiply
   1,137.94x = 1,829.25 × 1,829.25
4. Step 4: Simplify right side
   1,137.94x = 3,346,155.56
5. Step 5: Solve for x
   x = 3,346,155.56/1,137.94
6. Step 6: Final answer
   x = 2,940.54