Finding the Third Proportional to 42,080 and 65,456

Step by Step Solution

1. Step 1: Write the proportion equation
   42,080 : 65,456 = 65,456 : x
2. Step 2: Convert to fraction form
   42,080/65,456 = 65,456/x
3. Step 3: Cross multiply
   42,080x = 65,456 × 65,456
4. Step 4: Simplify right side
   42,080x = 4,284,487,936
5. Step 5: Solve for x
   x = 4,284,487,936/42,080
6. Step 6: Final answer
   x = 101,817.68