Finding the Third Proportional to 31,870 and 69,268

Step by Step Solution

1. Step 1: Write the proportion equation
   31,870 : 69,268 = 69,268 : x
2. Step 2: Convert to fraction form
   31,870/69,268 = 69,268/x
3. Step 3: Cross multiply
   31,870x = 69,268 × 69,268
4. Step 4: Simplify right side
   31,870x = 4,798,055,824
5. Step 5: Solve for x
   x = 4,798,055,824/31,870
6. Step 6: Final answer
   x = 150,550.86