Finding the Third Proportional to 9,758 and 21,413

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758 : 21,413 = 21,413 : x
2. Step 2: Convert to fraction form
   9,758/21,413 = 21,413/x
3. Step 3: Cross multiply
   9,758x = 21,413 × 21,413
4. Step 4: Simplify right side
   9,758x = 458,516,569
5. Step 5: Solve for x
   x = 458,516,569/9,758
6. Step 6: Final answer
   x = 46,988.79