Finding the Third Proportional to 42,395 and 65,541

Step by Step Solution

1. Step 1: Write the proportion equation
   42,395 : 65,541 = 65,541 : x
2. Step 2: Convert to fraction form
   42,395/65,541 = 65,541/x
3. Step 3: Cross multiply
   42,395x = 65,541 × 65,541
4. Step 4: Simplify right side
   42,395x = 4,295,622,681
5. Step 5: Solve for x
   x = 4,295,622,681/42,395
6. Step 6: Final answer
   x = 101,323.80