Finding the Third Proportional to 32,768 and 49,426

Step by Step Solution

1. Step 1: Write the proportion equation
   32,768 : 49,426 = 49,426 : x
2. Step 2: Convert to fraction form
   32,768/49,426 = 49,426/x
3. Step 3: Cross multiply
   32,768x = 49,426 × 49,426
4. Step 4: Simplify right side
   32,768x = 2,442,929,476
5. Step 5: Solve for x
   x = 2,442,929,476/32,768
6. Step 6: Final answer
   x = 74,552.29