Finding the Third Proportional to 42,416 and 65,085

Step by Step Solution

1. Step 1: Write the proportion equation
   42,416 : 65,085 = 65,085 : x
2. Step 2: Convert to fraction form
   42,416/65,085 = 65,085/x
3. Step 3: Cross multiply
   42,416x = 65,085 × 65,085
4. Step 4: Simplify right side
   42,416x = 4,236,057,225
5. Step 5: Solve for x
   x = 4,236,057,225/42,416
6. Step 6: Final answer
   x = 99,869.32