Finding the Third Proportional to 32,032 and 49,780

Step by Step Solution

1. Step 1: Write the proportion equation
   32,032 : 49,780 = 49,780 : x
2. Step 2: Convert to fraction form
   32,032/49,780 = 49,780/x
3. Step 3: Cross multiply
   32,032x = 49,780 × 49,780
4. Step 4: Simplify right side
   32,032x = 2,478,048,400
5. Step 5: Solve for x
   x = 2,478,048,400/32,032
6. Step 6: Final answer
   x = 77,361.65