Finding the Third Proportional to 41,510 and 65,289

Step by Step Solution

1. Step 1: Write the proportion equation
   41,510 : 65,289 = 65,289 : x
2. Step 2: Convert to fraction form
   41,510/65,289 = 65,289/x
3. Step 3: Cross multiply
   41,510x = 65,289 × 65,289
4. Step 4: Simplify right side
   41,510x = 4,262,653,521
5. Step 5: Solve for x
   x = 4,262,653,521/41,510
6. Step 6: Final answer
   x = 102,689.80