Finding the Third Proportional to 4,926 and 10,407

Step by Step Solution

1. Step 1: Write the proportion equation
   4,926 : 10,407 = 10,407 : x
2. Step 2: Convert to fraction form
   4,926/10,407 = 10,407/x
3. Step 3: Cross multiply
   4,926x = 10,407 × 10,407
4. Step 4: Simplify right side
   4,926x = 108,305,649
5. Step 5: Solve for x
   x = 108,305,649/4,926
6. Step 6: Final answer
   x = 21,986.53