Finding the Third Proportional to 15,384 and 23,892

Step by Step Solution

1. Step 1: Write the proportion equation
   15,384 : 23,892 = 23,892 : x
2. Step 2: Convert to fraction form
   15,384/23,892 = 23,892/x
3. Step 3: Cross multiply
   15,384x = 23,892 × 23,892
4. Step 4: Simplify right side
   15,384x = 570,827,664
5. Step 5: Solve for x
   x = 570,827,664/15,384
6. Step 6: Final answer
   x = 37,105.28