Finding the Third Proportional to 51,200 and 69,456

Step by Step Solution

1. Step 1: Write the proportion equation
   51,200 : 69,456 = 69,456 : x
2. Step 2: Convert to fraction form
   51,200/69,456 = 69,456/x
3. Step 3: Cross multiply
   51,200x = 69,456 × 69,456
4. Step 4: Simplify right side
   51,200x = 4,824,135,936
5. Step 5: Solve for x
   x = 4,824,135,936/51,200
6. Step 6: Final answer
   x = 94,221.41