Finding the Third Proportional to 10,706 and 22,158

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706 : 22,158 = 22,158 : x
2. Step 2: Convert to fraction form
   10,706/22,158 = 22,158/x
3. Step 3: Cross multiply
   10,706x = 22,158 × 22,158
4. Step 4: Simplify right side
   10,706x = 490,976,964
5. Step 5: Solve for x
   x = 490,976,964/10,706
6. Step 6: Final answer
   x = 45,859.98