Finding the Third Proportional to 20,105 and 35,798

Step by Step Solution

1. Step 1: Write the proportion equation
   20,105 : 35,798 = 35,798 : x
2. Step 2: Convert to fraction form
   20,105/35,798 = 35,798/x
3. Step 3: Cross multiply
   20,105x = 35,798 × 35,798
4. Step 4: Simplify right side
   20,105x = 1,281,496,804
5. Step 5: Solve for x
   x = 1,281,496,804/20,105
6. Step 6: Final answer
   x = 63,740.20