Finding the Third Proportional to 35,898 and 51,384

Step by Step Solution

1. Step 1: Write the proportion equation
   35,898 : 51,384 = 51,384 : x
2. Step 2: Convert to fraction form
   35,898/51,384 = 51,384/x
3. Step 3: Cross multiply
   35,898x = 51,384 × 51,384
4. Step 4: Simplify right side
   35,898x = 2,640,315,456
5. Step 5: Solve for x
   x = 2,640,315,456/35,898
6. Step 6: Final answer
   x = 73,550.49