Finding the Third Proportional to 1,176.38 and 2,503.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.38 : 2,503.88 = 2,503.88 : x
2. Step 2: Convert to fraction form
   1,176.38/2,503.88 = 2,503.88/x
3. Step 3: Cross multiply
   1,176.38x = 2,503.88 × 2,503.88
4. Step 4: Simplify right side
   1,176.38x = 6,269,390.02
5. Step 5: Solve for x
   x = 6,269,390.02/1,176.38
6. Step 6: Final answer
   x = 5,329.41