Finding the Third Proportional to 37,406 and 54,662

Step by Step Solution

1. Step 1: Write the proportion equation
   37,406 : 54,662 = 54,662 : x
2. Step 2: Convert to fraction form
   37,406/54,662 = 54,662/x
3. Step 3: Cross multiply
   37,406x = 54,662 × 54,662
4. Step 4: Simplify right side
   37,406x = 2,987,934,244
5. Step 5: Solve for x
   x = 2,987,934,244/37,406
6. Step 6: Final answer
   x = 79,878.48