Finding the Third Proportional to 31,840 and 68,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,840 : 68,378.50 = 68,378.50 : x
2. Step 2: Convert to fraction form
   31,840/68,378.50 = 68,378.50/x
3. Step 3: Cross multiply
   31,840x = 68,378.50 × 68,378.50
4. Step 4: Simplify right side
   31,840x = 4,675,619,262.25
5. Step 5: Solve for x
   x = 4,675,619,262.25/31,840
6. Step 6: Final answer
   x = 146,847.34