Finding the Third Proportional to 10,035 and 21,413

Step by Step Solution

1. Step 1: Write the proportion equation
   10,035 : 21,413 = 21,413 : x
2. Step 2: Convert to fraction form
   10,035/21,413 = 21,413/x
3. Step 3: Cross multiply
   10,035x = 21,413 × 21,413
4. Step 4: Simplify right side
   10,035x = 458,516,569
5. Step 5: Solve for x
   x = 458,516,569/10,035
6. Step 6: Final answer
   x = 45,691.74