Finding the Third Proportional to 42,401 and 65,936

Step by Step Solution

1. Step 1: Write the proportion equation
   42,401 : 65,936 = 65,936 : x
2. Step 2: Convert to fraction form
   42,401/65,936 = 65,936/x
3. Step 3: Cross multiply
   42,401x = 65,936 × 65,936
4. Step 4: Simplify right side
   42,401x = 4,347,556,096
5. Step 5: Solve for x
   x = 4,347,556,096/42,401
6. Step 6: Final answer
   x = 102,534.28