Finding the Third Proportional to 33,636 and 49,478

Step by Step Solution

1. Step 1: Write the proportion equation
   33,636 : 49,478 = 49,478 : x
2. Step 2: Convert to fraction form
   33,636/49,478 = 49,478/x
3. Step 3: Cross multiply
   33,636x = 49,478 × 49,478
4. Step 4: Simplify right side
   33,636x = 2,448,072,484
5. Step 5: Solve for x
   x = 2,448,072,484/33,636
6. Step 6: Final answer
   x = 72,781.32