Finding the Third Proportional to 12,280 and 19,288

Step by Step Solution

1. Step 1: Write the proportion equation
   12,280 : 19,288 = 19,288 : x
2. Step 2: Convert to fraction form
   12,280/19,288 = 19,288/x
3. Step 3: Cross multiply
   12,280x = 19,288 × 19,288
4. Step 4: Simplify right side
   12,280x = 372,026,944
5. Step 5: Solve for x
   x = 372,026,944/12,280
6. Step 6: Final answer
   x = 30,295.35