Finding the Third Proportional to 1,142.72 and 2,503.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.72 : 2,503.55 = 2,503.55 : x
2. Step 2: Convert to fraction form
   1,142.72/2,503.55 = 2,503.55/x
3. Step 3: Cross multiply
   1,142.72x = 2,503.55 × 2,503.55
4. Step 4: Simplify right side
   1,142.72x = 6,267,746.96
5. Step 5: Solve for x
   x = 6,267,746.96/1,142.72
6. Step 6: Final answer
   x = 5,484.94