Finding the Third Proportional to 35,757 and 42,345

Step by Step Solution

1. Step 1: Write the proportion equation
   35,757 : 42,345 = 42,345 : x
2. Step 2: Convert to fraction form
   35,757/42,345 = 42,345/x
3. Step 3: Cross multiply
   35,757x = 42,345 × 42,345
4. Step 4: Simplify right side
   35,757x = 1,793,099,025
5. Step 5: Solve for x
   x = 1,793,099,025/35,757
6. Step 6: Final answer
   x = 50,146.80