Finding the Third Proportional to 3,781.69 and 4,153.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 4,153.78 = 4,153.78 : x
2. Step 2: Convert to fraction form
   3,781.69/4,153.78 = 4,153.78/x
3. Step 3: Cross multiply
   3,781.69x = 4,153.78 × 4,153.78
4. Step 4: Simplify right side
   3,781.69x = 17,253,898.67
5. Step 5: Solve for x
   x = 17,253,898.67/3,781.69
6. Step 6: Final answer
   x = 4,562.49