Finding the Third Proportional to 41,426 and 65,091

Step by Step Solution

1. Step 1: Write the proportion equation
   41,426 : 65,091 = 65,091 : x
2. Step 2: Convert to fraction form
   41,426/65,091 = 65,091/x
3. Step 3: Cross multiply
   41,426x = 65,091 × 65,091
4. Step 4: Simplify right side
   41,426x = 4,236,838,281
5. Step 5: Solve for x
   x = 4,236,838,281/41,426
6. Step 6: Final answer
   x = 102,274.86