Finding the Third Proportional to 38,304 and 57,222

Step by Step Solution

1. Step 1: Write the proportion equation
   38,304 : 57,222 = 57,222 : x
2. Step 2: Convert to fraction form
   38,304/57,222 = 57,222/x
3. Step 3: Cross multiply
   38,304x = 57,222 × 57,222
4. Step 4: Simplify right side
   38,304x = 3,274,357,284
5. Step 5: Solve for x
   x = 3,274,357,284/38,304
6. Step 6: Final answer
   x = 85,483.43