Finding the Third Proportional to 10,298 and 23,801

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298 : 23,801 = 23,801 : x
2. Step 2: Convert to fraction form
   10,298/23,801 = 23,801/x
3. Step 3: Cross multiply
   10,298x = 23,801 × 23,801
4. Step 4: Simplify right side
   10,298x = 566,487,601
5. Step 5: Solve for x
   x = 566,487,601/10,298
6. Step 6: Final answer
   x = 55,009.48