Finding the Third Proportional to 32,780 and 49,337

Step by Step Solution

1. Step 1: Write the proportion equation
   32,780 : 49,337 = 49,337 : x
2. Step 2: Convert to fraction form
   32,780/49,337 = 49,337/x
3. Step 3: Cross multiply
   32,780x = 49,337 × 49,337
4. Step 4: Simplify right side
   32,780x = 2,434,139,569
5. Step 5: Solve for x
   x = 2,434,139,569/32,780
6. Step 6: Final answer
   x = 74,256.85