Finding the Third Proportional to 4,261.50 and 9,162

Step by Step Solution

1. Step 1: Write the proportion equation
   4,261.50 : 9,162 = 9,162 : x
2. Step 2: Convert to fraction form
   4,261.50/9,162 = 9,162/x
3. Step 3: Cross multiply
   4,261.50x = 9,162 × 9,162
4. Step 4: Simplify right side
   4,261.50x = 83,942,244
5. Step 5: Solve for x
   x = 83,942,244/4,261.50
6. Step 6: Final answer
   x = 19,697.82