Finding the Third Proportional to 11,320 and 20,288

Step by Step Solution

1. Step 1: Write the proportion equation
   11,320 : 20,288 = 20,288 : x
2. Step 2: Convert to fraction form
   11,320/20,288 = 20,288/x
3. Step 3: Cross multiply
   11,320x = 20,288 × 20,288
4. Step 4: Simplify right side
   11,320x = 411,602,944
5. Step 5: Solve for x
   x = 411,602,944/11,320
6. Step 6: Final answer
   x = 36,360.68