Finding the Third Proportional to 9,759 and 21,462

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759 : 21,462 = 21,462 : x
2. Step 2: Convert to fraction form
   9,759/21,462 = 21,462/x
3. Step 3: Cross multiply
   9,759x = 21,462 × 21,462
4. Step 4: Simplify right side
   9,759x = 460,617,444
5. Step 5: Solve for x
   x = 460,617,444/9,759
6. Step 6: Final answer
   x = 47,199.25