Finding the Third Proportional to 27,936 and 37,962

Step by Step Solution

1. Step 1: Write the proportion equation
   27,936 : 37,962 = 37,962 : x
2. Step 2: Convert to fraction form
   27,936/37,962 = 37,962/x
3. Step 3: Cross multiply
   27,936x = 37,962 × 37,962
4. Step 4: Simplify right side
   27,936x = 1,441,113,444
5. Step 5: Solve for x
   x = 1,441,113,444/27,936
6. Step 6: Final answer
   x = 51,586.25