Finding the Third Proportional to 37,728 and 102,600

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 102,600 = 102,600 : x
2. Step 2: Convert to fraction form
   37,728/102,600 = 102,600/x
3. Step 3: Cross multiply
   37,728x = 102,600 × 102,600
4. Step 4: Simplify right side
   37,728x = 10,526,760,000
5. Step 5: Solve for x
   x = 10,526,760,000/37,728
6. Step 6: Final answer
   x = 279,017.18