Finding the Third Proportional to 30,829.50 and 67,365.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,829.50 : 67,365.75 = 67,365.75 : x
2. Step 2: Convert to fraction form
   30,829.50/67,365.75 = 67,365.75/x
3. Step 3: Cross multiply
   30,829.50x = 67,365.75 × 67,365.75
4. Step 4: Simplify right side
   30,829.50x = 4,538,144,273.06
5. Step 5: Solve for x
   x = 4,538,144,273.06/30,829.50
6. Step 6: Final answer
   x = 147,201.36