Finding the Third Proportional to 32,144 and 49,309

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 49,309 = 49,309 : x
2. Step 2: Convert to fraction form
   32,144/49,309 = 49,309/x
3. Step 3: Cross multiply
   32,144x = 49,309 × 49,309
4. Step 4: Simplify right side
   32,144x = 2,431,377,481
5. Step 5: Solve for x
   x = 2,431,377,481/32,144
6. Step 6: Final answer
   x = 75,640.17