Finding the Third Proportional to 45,728 and 61,760

Step by Step Solution

1. Step 1: Write the proportion equation
   45,728 : 61,760 = 61,760 : x
2. Step 2: Convert to fraction form
   45,728/61,760 = 61,760/x
3. Step 3: Cross multiply
   45,728x = 61,760 × 61,760
4. Step 4: Simplify right side
   45,728x = 3,814,297,600
5. Step 5: Solve for x
   x = 3,814,297,600/45,728
6. Step 6: Final answer
   x = 83,412.74