Finding the Third Proportional to 30,576 and 67,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,576 : 67,165.50 = 67,165.50 : x
2. Step 2: Convert to fraction form
   30,576/67,165.50 = 67,165.50/x
3. Step 3: Cross multiply
   30,576x = 67,165.50 × 67,165.50
4. Step 4: Simplify right side
   30,576x = 4,511,204,390.25
5. Step 5: Solve for x
   x = 4,511,204,390.25/30,576
6. Step 6: Final answer
   x = 147,540.70