Finding the Third Proportional to 32,464 and 50,128

Step by Step Solution

1. Step 1: Write the proportion equation
   32,464 : 50,128 = 50,128 : x
2. Step 2: Convert to fraction form
   32,464/50,128 = 50,128/x
3. Step 3: Cross multiply
   32,464x = 50,128 × 50,128
4. Step 4: Simplify right side
   32,464x = 2,512,816,384
5. Step 5: Solve for x
   x = 2,512,816,384/32,464
6. Step 6: Final answer
   x = 77,403.17