Finding the Third Proportional to 7,892 and 18,264

Step by Step Solution

1. Step 1: Write the proportion equation
   7,892 : 18,264 = 18,264 : x
2. Step 2: Convert to fraction form
   7,892/18,264 = 18,264/x
3. Step 3: Cross multiply
   7,892x = 18,264 × 18,264
4. Step 4: Simplify right side
   7,892x = 333,573,696
5. Step 5: Solve for x
   x = 333,573,696/7,892
6. Step 6: Final answer
   x = 42,267.32