Finding the Third Proportional to 10,001 and 21,541

Step by Step Solution

1. Step 1: Write the proportion equation
   10,001 : 21,541 = 21,541 : x
2. Step 2: Convert to fraction form
   10,001/21,541 = 21,541/x
3. Step 3: Cross multiply
   10,001x = 21,541 × 21,541
4. Step 4: Simplify right side
   10,001x = 464,014,681
5. Step 5: Solve for x
   x = 464,014,681/10,001
6. Step 6: Final answer
   x = 46,396.83