Finding the Third Proportional to 3,834.84 and 5,653.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.84 : 5,653.55 = 5,653.55 : x
2. Step 2: Convert to fraction form
   3,834.84/5,653.55 = 5,653.55/x
3. Step 3: Cross multiply
   3,834.84x = 5,653.55 × 5,653.55
4. Step 4: Simplify right side
   3,834.84x = 31,962,592.27
5. Step 5: Solve for x
   x = 31,962,592.27/3,834.84
6. Step 6: Final answer
   x = 8,334.78