Finding the Third Proportional to 32,144 and 49,767

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 49,767 = 49,767 : x
2. Step 2: Convert to fraction form
   32,144/49,767 = 49,767/x
3. Step 3: Cross multiply
   32,144x = 49,767 × 49,767
4. Step 4: Simplify right side
   32,144x = 2,476,754,289
5. Step 5: Solve for x
   x = 2,476,754,289/32,144
6. Step 6: Final answer
   x = 77,051.84