Finding the Third Proportional to 41,426 and 65,627

Step by Step Solution

1. Step 1: Write the proportion equation
   41,426 : 65,627 = 65,627 : x
2. Step 2: Convert to fraction form
   41,426/65,627 = 65,627/x
3. Step 3: Cross multiply
   41,426x = 65,627 × 65,627
4. Step 4: Simplify right side
   41,426x = 4,306,903,129
5. Step 5: Solve for x
   x = 4,306,903,129/41,426
6. Step 6: Final answer
   x = 103,966.18