Finding the Third Proportional to 12,078 and 19,216

Step by Step Solution

1. Step 1: Write the proportion equation
   12,078 : 19,216 = 19,216 : x
2. Step 2: Convert to fraction form
   12,078/19,216 = 19,216/x
3. Step 3: Cross multiply
   12,078x = 19,216 × 19,216
4. Step 4: Simplify right side
   12,078x = 369,254,656
5. Step 5: Solve for x
   x = 369,254,656/12,078
6. Step 6: Final answer
   x = 30,572.50