Finding the Third Proportional to 42,456 and 65,466

Step by Step Solution

1. Step 1: Write the proportion equation
   42,456 : 65,466 = 65,466 : x
2. Step 2: Convert to fraction form
   42,456/65,466 = 65,466/x
3. Step 3: Cross multiply
   42,456x = 65,466 × 65,466
4. Step 4: Simplify right side
   42,456x = 4,285,797,156
5. Step 5: Solve for x
   x = 4,285,797,156/42,456
6. Step 6: Final answer
   x = 100,946.80