Finding the Third Proportional to 31,998 and 68,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,998 : 68,734.50 = 68,734.50 : x
2. Step 2: Convert to fraction form
   31,998/68,734.50 = 68,734.50/x
3. Step 3: Cross multiply
   31,998x = 68,734.50 × 68,734.50
4. Step 4: Simplify right side
   31,998x = 4,724,431,490.25
5. Step 5: Solve for x
   x = 4,724,431,490.25/31,998
6. Step 6: Final answer
   x = 147,647.71