Finding the Third Proportional to 3,162 and 5,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,162 : 5,053.50 = 5,053.50 : x
2. Step 2: Convert to fraction form
   3,162/5,053.50 = 5,053.50/x
3. Step 3: Cross multiply
   3,162x = 5,053.50 × 5,053.50
4. Step 4: Simplify right side
   3,162x = 25,537,862.25
5. Step 5: Solve for x
   x = 25,537,862.25/3,162
6. Step 6: Final answer
   x = 8,076.49