Finding the Third Proportional to 31,738.50 and 68,262.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,738.50 : 68,262.75 = 68,262.75 : x
2. Step 2: Convert to fraction form
   31,738.50/68,262.75 = 68,262.75/x
3. Step 3: Cross multiply
   31,738.50x = 68,262.75 × 68,262.75
4. Step 4: Simplify right side
   31,738.50x = 4,659,803,037.56
5. Step 5: Solve for x
   x = 4,659,803,037.56/31,738.50
6. Step 6: Final answer
   x = 146,818.63