Finding the Third Proportional to 65,425 and 103,766

Step by Step Solution

1. Step 1: Write the proportion equation
   65,425 : 103,766 = 103,766 : x
2. Step 2: Convert to fraction form
   65,425/103,766 = 103,766/x
3. Step 3: Cross multiply
   65,425x = 103,766 × 103,766
4. Step 4: Simplify right side
   65,425x = 10,767,382,756
5. Step 5: Solve for x
   x = 10,767,382,756/65,425
6. Step 6: Final answer
   x = 164,575.97