Finding the Third Proportional to 9,078 and 12,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,078 : 12,214.50 = 12,214.50 : x
2. Step 2: Convert to fraction form
   9,078/12,214.50 = 12,214.50/x
3. Step 3: Cross multiply
   9,078x = 12,214.50 × 12,214.50
4. Step 4: Simplify right side
   9,078x = 149,194,010.25
5. Step 5: Solve for x
   x = 149,194,010.25/9,078
6. Step 6: Final answer
   x = 16,434.68