Finding the Third Proportional to 31,741.50 and 68,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,741.50 : 68,269.50 = 68,269.50 : x
2. Step 2: Convert to fraction form
   31,741.50/68,269.50 = 68,269.50/x
3. Step 3: Cross multiply
   31,741.50x = 68,269.50 × 68,269.50
4. Step 4: Simplify right side
   31,741.50x = 4,660,724,630.25
5. Step 5: Solve for x
   x = 4,660,724,630.25/31,741.50
6. Step 6: Final answer
   x = 146,833.79