Finding the Third Proportional to 9,357 and 13,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,357 : 13,099.50 = 13,099.50 : x
2. Step 2: Convert to fraction form
   9,357/13,099.50 = 13,099.50/x
3. Step 3: Cross multiply
   9,357x = 13,099.50 × 13,099.50
4. Step 4: Simplify right side
   9,357x = 171,596,900.25
5. Step 5: Solve for x
   x = 171,596,900.25/9,357
6. Step 6: Final answer
   x = 18,338.88