Finding the Third Proportional to 32,769 and 50,436

Step by Step Solution

1. Step 1: Write the proportion equation
   32,769 : 50,436 = 50,436 : x
2. Step 2: Convert to fraction form
   32,769/50,436 = 50,436/x
3. Step 3: Cross multiply
   32,769x = 50,436 × 50,436
4. Step 4: Simplify right side
   32,769x = 2,543,790,096
5. Step 5: Solve for x
   x = 2,543,790,096/32,769
6. Step 6: Final answer
   x = 77,627.94