Finding the Third Proportional to 9,296.50 and 14,162.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.50 : 14,162.56 = 14,162.56 : x
2. Step 2: Convert to fraction form
   9,296.50/14,162.56 = 14,162.56/x
3. Step 3: Cross multiply
   9,296.50x = 14,162.56 × 14,162.56
4. Step 4: Simplify right side
   9,296.50x = 200,578,176.57
5. Step 5: Solve for x
   x = 200,578,176.57/9,296.50
6. Step 6: Final answer
   x = 21,575.67