Finding the Third Proportional to 37,667 and 55,366

Step by Step Solution

1. Step 1: Write the proportion equation
   37,667 : 55,366 = 55,366 : x
2. Step 2: Convert to fraction form
   37,667/55,366 = 55,366/x
3. Step 3: Cross multiply
   37,667x = 55,366 × 55,366
4. Step 4: Simplify right side
   37,667x = 3,065,393,956
5. Step 5: Solve for x
   x = 3,065,393,956/37,667
6. Step 6: Final answer
   x = 81,381.42