Finding the Third Proportional to 32,128 and 49,443

Step by Step Solution

1. Step 1: Write the proportion equation
   32,128 : 49,443 = 49,443 : x
2. Step 2: Convert to fraction form
   32,128/49,443 = 49,443/x
3. Step 3: Cross multiply
   32,128x = 49,443 × 49,443
4. Step 4: Simplify right side
   32,128x = 2,444,610,249
5. Step 5: Solve for x
   x = 2,444,610,249/32,128
6. Step 6: Final answer
   x = 76,089.71