Finding the Third Proportional to 42,447 and 65,517

Step by Step Solution

1. Step 1: Write the proportion equation
   42,447 : 65,517 = 65,517 : x
2. Step 2: Convert to fraction form
   42,447/65,517 = 65,517/x
3. Step 3: Cross multiply
   42,447x = 65,517 × 65,517
4. Step 4: Simplify right side
   42,447x = 4,292,477,289
5. Step 5: Solve for x
   x = 4,292,477,289/42,447
6. Step 6: Final answer
   x = 101,125.58