Finding the Third Proportional to 41,776 and 65,634

Step by Step Solution

1. Step 1: Write the proportion equation
   41,776 : 65,634 = 65,634 : x
2. Step 2: Convert to fraction form
   41,776/65,634 = 65,634/x
3. Step 3: Cross multiply
   41,776x = 65,634 × 65,634
4. Step 4: Simplify right side
   41,776x = 4,307,821,956
5. Step 5: Solve for x
   x = 4,307,821,956/41,776
6. Step 6: Final answer
   x = 103,117.15