Finding the Third Proportional to 35,852 and 52,238

Step by Step Solution

1. Step 1: Write the proportion equation
   35,852 : 52,238 = 52,238 : x
2. Step 2: Convert to fraction form
   35,852/52,238 = 52,238/x
3. Step 3: Cross multiply
   35,852x = 52,238 × 52,238
4. Step 4: Simplify right side
   35,852x = 2,728,808,644
5. Step 5: Solve for x
   x = 2,728,808,644/35,852
6. Step 6: Final answer
   x = 76,113.15