Finding the Third Proportional to 10,302 and 18,264

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302 : 18,264 = 18,264 : x
2. Step 2: Convert to fraction form
   10,302/18,264 = 18,264/x
3. Step 3: Cross multiply
   10,302x = 18,264 × 18,264
4. Step 4: Simplify right side
   10,302x = 333,573,696
5. Step 5: Solve for x
   x = 333,573,696/10,302
6. Step 6: Final answer
   x = 32,379.51