Finding the Third Proportional to 20,106 and 35,814

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 35,814 = 35,814 : x
2. Step 2: Convert to fraction form
   20,106/35,814 = 35,814/x
3. Step 3: Cross multiply
   20,106x = 35,814 × 35,814
4. Step 4: Simplify right side
   20,106x = 1,282,642,596
5. Step 5: Solve for x
   x = 1,282,642,596/20,106
6. Step 6: Final answer
   x = 63,794.02