Finding the Third Proportional to 9,124 and 16,264

Step by Step Solution

1. Step 1: Write the proportion equation
   9,124 : 16,264 = 16,264 : x
2. Step 2: Convert to fraction form
   9,124/16,264 = 16,264/x
3. Step 3: Cross multiply
   9,124x = 16,264 × 16,264
4. Step 4: Simplify right side
   9,124x = 264,517,696
5. Step 5: Solve for x
   x = 264,517,696/9,124
6. Step 6: Final answer
   x = 28,991.42