Finding the Third Proportional to 12,309 and 18,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,309 : 18,493.50 = 18,493.50 : x
2. Step 2: Convert to fraction form
   12,309/18,493.50 = 18,493.50/x
3. Step 3: Cross multiply
   12,309x = 18,493.50 × 18,493.50
4. Step 4: Simplify right side
   12,309x = 342,009,542.25
5. Step 5: Solve for x
   x = 342,009,542.25/12,309
6. Step 6: Final answer
   x = 27,785.32