Finding the Third Proportional to 42,908 and 65,638

Step by Step Solution

1. Step 1: Write the proportion equation
   42,908 : 65,638 = 65,638 : x
2. Step 2: Convert to fraction form
   42,908/65,638 = 65,638/x
3. Step 3: Cross multiply
   42,908x = 65,638 × 65,638
4. Step 4: Simplify right side
   42,908x = 4,308,347,044
5. Step 5: Solve for x
   x = 4,308,347,044/42,908
6. Step 6: Final answer
   x = 100,408.95