Finding the Third Proportional to 36,684 and 57,222

Step by Step Solution

1. Step 1: Write the proportion equation
   36,684 : 57,222 = 57,222 : x
2. Step 2: Convert to fraction form
   36,684/57,222 = 57,222/x
3. Step 3: Cross multiply
   36,684x = 57,222 × 57,222
4. Step 4: Simplify right side
   36,684x = 3,274,357,284
5. Step 5: Solve for x
   x = 3,274,357,284/36,684
6. Step 6: Final answer
   x = 89,258.46