Finding the Third Proportional to 49,424 and 76,443

Step by Step Solution

1. Step 1: Write the proportion equation
   49,424 : 76,443 = 76,443 : x
2. Step 2: Convert to fraction form
   49,424/76,443 = 76,443/x
3. Step 3: Cross multiply
   49,424x = 76,443 × 76,443
4. Step 4: Simplify right side
   49,424x = 5,843,532,249
5. Step 5: Solve for x
   x = 5,843,532,249/49,424
6. Step 6: Final answer
   x = 118,232.69