Finding the Third Proportional to 2,503.50 and 3,897

Step by Step Solution

1. Step 1: Write the proportion equation
   2,503.50 : 3,897 = 3,897 : x
2. Step 2: Convert to fraction form
   2,503.50/3,897 = 3,897/x
3. Step 3: Cross multiply
   2,503.50x = 3,897 × 3,897
4. Step 4: Simplify right side
   2,503.50x = 15,186,609
5. Step 5: Solve for x
   x = 15,186,609/2,503.50
6. Step 6: Final answer
   x = 6,066.15