Finding the Third Proportional to 10,162 and 14,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162 : 14,635.50 = 14,635.50 : x
2. Step 2: Convert to fraction form
   10,162/14,635.50 = 14,635.50/x
3. Step 3: Cross multiply
   10,162x = 14,635.50 × 14,635.50
4. Step 4: Simplify right side
   10,162x = 214,197,860.25
5. Step 5: Solve for x
   x = 214,197,860.25/10,162
6. Step 6: Final answer
   x = 21,078.32