Finding the Third Proportional to 30,231 and 65,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,231 : 65,650.50 = 65,650.50 : x
2. Step 2: Convert to fraction form
   30,231/65,650.50 = 65,650.50/x
3. Step 3: Cross multiply
   30,231x = 65,650.50 × 65,650.50
4. Step 4: Simplify right side
   30,231x = 4,309,988,150.25
5. Step 5: Solve for x
   x = 4,309,988,150.25/30,231
6. Step 6: Final answer
   x = 142,568.49