Finding the Third Proportional to 30,229.50 and 65,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,229.50 : 65,836.50 = 65,836.50 : x
2. Step 2: Convert to fraction form
   30,229.50/65,836.50 = 65,836.50/x
3. Step 3: Cross multiply
   30,229.50x = 65,836.50 × 65,836.50
4. Step 4: Simplify right side
   30,229.50x = 4,334,444,732.25
5. Step 5: Solve for x
   x = 4,334,444,732.25/30,229.50
6. Step 6: Final answer
   x = 143,384.60