Finding the Third Proportional to 37,518 and 57,229

Step by Step Solution

1. Step 1: Write the proportion equation
   37,518 : 57,229 = 57,229 : x
2. Step 2: Convert to fraction form
   37,518/57,229 = 57,229/x
3. Step 3: Cross multiply
   37,518x = 57,229 × 57,229
4. Step 4: Simplify right side
   37,518x = 3,275,158,441
5. Step 5: Solve for x
   x = 3,275,158,441/37,518
6. Step 6: Final answer
   x = 87,295.66