Finding the Third Proportional to 1,175.77 and 2,503.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.77 : 2,503.41 = 2,503.41 : x
2. Step 2: Convert to fraction form
   1,175.77/2,503.41 = 2,503.41/x
3. Step 3: Cross multiply
   1,175.77x = 2,503.41 × 2,503.41
4. Step 4: Simplify right side
   1,175.77x = 6,267,042.85
5. Step 5: Solve for x
   x = 6,267,042.85/1,175.77
6. Step 6: Final answer
   x = 5,330.18