Finding the Third Proportional to 37,974 and 55,724

Step by Step Solution

1. Step 1: Write the proportion equation
   37,974 : 55,724 = 55,724 : x
2. Step 2: Convert to fraction form
   37,974/55,724 = 55,724/x
3. Step 3: Cross multiply
   37,974x = 55,724 × 55,724
4. Step 4: Simplify right side
   37,974x = 3,105,164,176
5. Step 5: Solve for x
   x = 3,105,164,176/37,974
6. Step 6: Final answer
   x = 81,770.80