Finding the Third Proportional to 11,264 and 16,132

Step by Step Solution

1. Step 1: Write the proportion equation
   11,264 : 16,132 = 16,132 : x
2. Step 2: Convert to fraction form
   11,264/16,132 = 16,132/x
3. Step 3: Cross multiply
   11,264x = 16,132 × 16,132
4. Step 4: Simplify right side
   11,264x = 260,241,424
5. Step 5: Solve for x
   x = 260,241,424/11,264
6. Step 6: Final answer
   x = 23,103.82