Finding the Third Proportional to 27,728 and 49,300

Step by Step Solution

1. Step 1: Write the proportion equation
   27,728 : 49,300 = 49,300 : x
2. Step 2: Convert to fraction form
   27,728/49,300 = 49,300/x
3. Step 3: Cross multiply
   27,728x = 49,300 × 49,300
4. Step 4: Simplify right side
   27,728x = 2,430,490,000
5. Step 5: Solve for x
   x = 2,430,490,000/27,728
6. Step 6: Final answer
   x = 87,654.72