Finding the Third Proportional to 11,300 and 16,302

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 16,302 = 16,302 : x
2. Step 2: Convert to fraction form
   11,300/16,302 = 16,302/x
3. Step 3: Cross multiply
   11,300x = 16,302 × 16,302
4. Step 4: Simplify right side
   11,300x = 265,755,204
5. Step 5: Solve for x
   x = 265,755,204/11,300
6. Step 6: Final answer
   x = 23,518.16