Finding the Third Proportional to 51,002 and 84,284

Step by Step Solution

1. Step 1: Write the proportion equation
   51,002 : 84,284 = 84,284 : x
2. Step 2: Convert to fraction form
   51,002/84,284 = 84,284/x
3. Step 3: Cross multiply
   51,002x = 84,284 × 84,284
4. Step 4: Simplify right side
   51,002x = 7,103,792,656
5. Step 5: Solve for x
   x = 7,103,792,656/51,002
6. Step 6: Final answer
   x = 139,284.59