Finding the Third Proportional to 31,685.25 and 68,049.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,685.25 : 68,049.75 = 68,049.75 : x
2. Step 2: Convert to fraction form
   31,685.25/68,049.75 = 68,049.75/x
3. Step 3: Cross multiply
   31,685.25x = 68,049.75 × 68,049.75
4. Step 4: Simplify right side
   31,685.25x = 4,630,768,475.06
5. Step 5: Solve for x
   x = 4,630,768,475.06/31,685.25
6. Step 6: Final answer
   x = 146,149.03