Finding the Third Proportional to 34,258 and 51,388

Step by Step Solution

1. Step 1: Write the proportion equation
   34,258 : 51,388 = 51,388 : x
2. Step 2: Convert to fraction form
   34,258/51,388 = 51,388/x
3. Step 3: Cross multiply
   34,258x = 51,388 × 51,388
4. Step 4: Simplify right side
   34,258x = 2,640,726,544
5. Step 5: Solve for x
   x = 2,640,726,544/34,258
6. Step 6: Final answer
   x = 77,083.50