Finding the Third Proportional to 32,768 and 50,107

Step by Step Solution

1. Step 1: Write the proportion equation
   32,768 : 50,107 = 50,107 : x
2. Step 2: Convert to fraction form
   32,768/50,107 = 50,107/x
3. Step 3: Cross multiply
   32,768x = 50,107 × 50,107
4. Step 4: Simplify right side
   32,768x = 2,510,711,449
5. Step 5: Solve for x
   x = 2,510,711,449/32,768
6. Step 6: Final answer
   x = 76,620.83