Finding the Third Proportional to 10,107 and 21,858

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107 : 21,858 = 21,858 : x
2. Step 2: Convert to fraction form
   10,107/21,858 = 21,858/x
3. Step 3: Cross multiply
   10,107x = 21,858 × 21,858
4. Step 4: Simplify right side
   10,107x = 477,772,164
5. Step 5: Solve for x
   x = 477,772,164/10,107
6. Step 6: Final answer
   x = 47,271.41