Finding the Third Proportional to 1,137.38 and 2,409.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.38 : 2,409.75 = 2,409.75 : x
2. Step 2: Convert to fraction form
   1,137.38/2,409.75 = 2,409.75/x
3. Step 3: Cross multiply
   1,137.38x = 2,409.75 × 2,409.75
4. Step 4: Simplify right side
   1,137.38x = 5,806,895.06
5. Step 5: Solve for x
   x = 5,806,895.06/1,137.38
6. Step 6: Final answer
   x = 5,105.52