Finding the Third Proportional to 65,426 and 103,768

Step by Step Solution

1. Step 1: Write the proportion equation
   65,426 : 103,768 = 103,768 : x
2. Step 2: Convert to fraction form
   65,426/103,768 = 103,768/x
3. Step 3: Cross multiply
   65,426x = 103,768 × 103,768
4. Step 4: Simplify right side
   65,426x = 10,767,797,824
5. Step 5: Solve for x
   x = 10,767,797,824/65,426
6. Step 6: Final answer
   x = 164,579.80