Finding the Third Proportional to 38,970 and 55,728

Step by Step Solution

1. Step 1: Write the proportion equation
   38,970 : 55,728 = 55,728 : x
2. Step 2: Convert to fraction form
   38,970/55,728 = 55,728/x
3. Step 3: Cross multiply
   38,970x = 55,728 × 55,728
4. Step 4: Simplify right side
   38,970x = 3,105,609,984
5. Step 5: Solve for x
   x = 3,105,609,984/38,970
6. Step 6: Final answer
   x = 79,692.33