Finding the Third Proportional to 32,020 and 49,760

Step by Step Solution

1. Step 1: Write the proportion equation
   32,020 : 49,760 = 49,760 : x
2. Step 2: Convert to fraction form
   32,020/49,760 = 49,760/x
3. Step 3: Cross multiply
   32,020x = 49,760 × 49,760
4. Step 4: Simplify right side
   32,020x = 2,476,057,600
5. Step 5: Solve for x
   x = 2,476,057,600/32,020
6. Step 6: Final answer
   x = 77,328.47