Finding the Third Proportional to 29,500 and 64,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,500 : 64,183.50 = 64,183.50 : x
2. Step 2: Convert to fraction form
   29,500/64,183.50 = 64,183.50/x
3. Step 3: Cross multiply
   29,500x = 64,183.50 × 64,183.50
4. Step 4: Simplify right side
   29,500x = 4,119,521,672.25
5. Step 5: Solve for x
   x = 4,119,521,672.25/29,500
6. Step 6: Final answer
   x = 139,644.80