Finding the Third Proportional to 37,416 and 57,204

Step by Step Solution

1. Step 1: Write the proportion equation
   37,416 : 57,204 = 57,204 : x
2. Step 2: Convert to fraction form
   37,416/57,204 = 57,204/x
3. Step 3: Cross multiply
   37,416x = 57,204 × 57,204
4. Step 4: Simplify right side
   37,416x = 3,272,297,616
5. Step 5: Solve for x
   x = 3,272,297,616/37,416
6. Step 6: Final answer
   x = 87,457.17