Finding the Third Proportional to 11,300 and 27,192

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 27,192 = 27,192 : x
2. Step 2: Convert to fraction form
   11,300/27,192 = 27,192/x
3. Step 3: Cross multiply
   11,300x = 27,192 × 27,192
4. Step 4: Simplify right side
   11,300x = 739,404,864
5. Step 5: Solve for x
   x = 739,404,864/11,300
6. Step 6: Final answer
   x = 65,434.06