Finding the Third Proportional to 35,962 and 57,455

Step by Step Solution

1. Step 1: Write the proportion equation
   35,962 : 57,455 = 57,455 : x
2. Step 2: Convert to fraction form
   35,962/57,455 = 57,455/x
3. Step 3: Cross multiply
   35,962x = 57,455 × 57,455
4. Step 4: Simplify right side
   35,962x = 3,301,077,025
5. Step 5: Solve for x
   x = 3,301,077,025/35,962
6. Step 6: Final answer
   x = 91,793.48