Finding the Third Proportional to 31,181 and 68,398.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,181 : 68,398.25 = 68,398.25 : x
2. Step 2: Convert to fraction form
   31,181/68,398.25 = 68,398.25/x
3. Step 3: Cross multiply
   31,181x = 68,398.25 × 68,398.25
4. Step 4: Simplify right side
   31,181x = 4,678,320,603.06
5. Step 5: Solve for x
   x = 4,678,320,603.06/31,181
6. Step 6: Final answer
   x = 150,037.54