Finding the Third Proportional to 54,900 and 74,556

Step by Step Solution

1. Step 1: Write the proportion equation
   54,900 : 74,556 = 74,556 : x
2. Step 2: Convert to fraction form
   54,900/74,556 = 74,556/x
3. Step 3: Cross multiply
   54,900x = 74,556 × 74,556
4. Step 4: Simplify right side
   54,900x = 5,558,597,136
5. Step 5: Solve for x
   x = 5,558,597,136/54,900
6. Step 6: Final answer
   x = 101,249.49