Finding the Third Proportional to 15,892 and 23,830

Step by Step Solution

1. Step 1: Write the proportion equation
   15,892 : 23,830 = 23,830 : x
2. Step 2: Convert to fraction form
   15,892/23,830 = 23,830/x
3. Step 3: Cross multiply
   15,892x = 23,830 × 23,830
4. Step 4: Simplify right side
   15,892x = 567,868,900
5. Step 5: Solve for x
   x = 567,868,900/15,892
6. Step 6: Final answer
   x = 35,733.00