Finding the Third Proportional to 33,530 and 69,788

Step by Step Solution

1. Step 1: Write the proportion equation
   33,530 : 69,788 = 69,788 : x
2. Step 2: Convert to fraction form
   33,530/69,788 = 69,788/x
3. Step 3: Cross multiply
   33,530x = 69,788 × 69,788
4. Step 4: Simplify right side
   33,530x = 4,870,364,944
5. Step 5: Solve for x
   x = 4,870,364,944/33,530
6. Step 6: Final answer
   x = 145,253.95