Finding the Third Proportional to 3,834.84 and 5,481.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.84 : 5,481.42 = 5,481.42 : x
2. Step 2: Convert to fraction form
   3,834.84/5,481.42 = 5,481.42/x
3. Step 3: Cross multiply
   3,834.84x = 5,481.42 × 5,481.42
4. Step 4: Simplify right side
   3,834.84x = 30,045,985.77
5. Step 5: Solve for x
   x = 30,045,985.77/3,834.84
6. Step 6: Final answer
   x = 7,835.00