Finding the Third Proportional to 37,096 and 55,974

Step by Step Solution

1. Step 1: Write the proportion equation
   37,096 : 55,974 = 55,974 : x
2. Step 2: Convert to fraction form
   37,096/55,974 = 55,974/x
3. Step 3: Cross multiply
   37,096x = 55,974 × 55,974
4. Step 4: Simplify right side
   37,096x = 3,133,088,676
5. Step 5: Solve for x
   x = 3,133,088,676/37,096
6. Step 6: Final answer
   x = 84,458.94