Finding the Third Proportional to 9,162 and 12,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162 : 12,733.50 = 12,733.50 : x
2. Step 2: Convert to fraction form
   9,162/12,733.50 = 12,733.50/x
3. Step 3: Cross multiply
   9,162x = 12,733.50 × 12,733.50
4. Step 4: Simplify right side
   9,162x = 162,142,022.25
5. Step 5: Solve for x
   x = 162,142,022.25/9,162
6. Step 6: Final answer
   x = 17,697.23