Finding the Third Proportional to 33,530 and 69,814

Step by Step Solution

1. Step 1: Write the proportion equation
   33,530 : 69,814 = 69,814 : x
2. Step 2: Convert to fraction form
   33,530/69,814 = 69,814/x
3. Step 3: Cross multiply
   33,530x = 69,814 × 69,814
4. Step 4: Simplify right side
   33,530x = 4,873,994,596
5. Step 5: Solve for x
   x = 4,873,994,596/33,530
6. Step 6: Final answer
   x = 145,362.20