Finding the Third Proportional to 42,612 and 65,175

Step by Step Solution

1. Step 1: Write the proportion equation
   42,612 : 65,175 = 65,175 : x
2. Step 2: Convert to fraction form
   42,612/65,175 = 65,175/x
3. Step 3: Cross multiply
   42,612x = 65,175 × 65,175
4. Step 4: Simplify right side
   42,612x = 4,247,780,625
5. Step 5: Solve for x
   x = 4,247,780,625/42,612
6. Step 6: Final answer
   x = 99,685.08