Finding the Third Proportional to 31,995 and 68,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,995 : 68,728.50 = 68,728.50 : x
2. Step 2: Convert to fraction form
   31,995/68,728.50 = 68,728.50/x
3. Step 3: Cross multiply
   31,995x = 68,728.50 × 68,728.50
4. Step 4: Simplify right side
   31,995x = 4,723,606,712.25
5. Step 5: Solve for x
   x = 4,723,606,712.25/31,995
6. Step 6: Final answer
   x = 147,635.78