Finding the Third Proportional to 37,096 and 55,962

Step by Step Solution

1. Step 1: Write the proportion equation
   37,096 : 55,962 = 55,962 : x
2. Step 2: Convert to fraction form
   37,096/55,962 = 55,962/x
3. Step 3: Cross multiply
   37,096x = 55,962 × 55,962
4. Step 4: Simplify right side
   37,096x = 3,131,745,444
5. Step 5: Solve for x
   x = 3,131,745,444/37,096
6. Step 6: Final answer
   x = 84,422.73