Finding the Third Proportional to 3,404.50 and 5,261

Step by Step Solution

1. Step 1: Write the proportion equation
   3,404.50 : 5,261 = 5,261 : x
2. Step 2: Convert to fraction form
   3,404.50/5,261 = 5,261/x
3. Step 3: Cross multiply
   3,404.50x = 5,261 × 5,261
4. Step 4: Simplify right side
   3,404.50x = 27,678,121
5. Step 5: Solve for x
   x = 27,678,121/3,404.50
6. Step 6: Final answer
   x = 8,129.86