Finding the Third Proportional to 33,689 and 51,564

Step by Step Solution

1. Step 1: Write the proportion equation
   33,689 : 51,564 = 51,564 : x
2. Step 2: Convert to fraction form
   33,689/51,564 = 51,564/x
3. Step 3: Cross multiply
   33,689x = 51,564 × 51,564
4. Step 4: Simplify right side
   33,689x = 2,658,846,096
5. Step 5: Solve for x
   x = 2,658,846,096/33,689
6. Step 6: Final answer
   x = 78,923.27