Finding the Third Proportional to 33,539 and 69,238

Step by Step Solution

1. Step 1: Write the proportion equation
   33,539 : 69,238 = 69,238 : x
2. Step 2: Convert to fraction form
   33,539/69,238 = 69,238/x
3. Step 3: Cross multiply
   33,539x = 69,238 × 69,238
4. Step 4: Simplify right side
   33,539x = 4,793,900,644
5. Step 5: Solve for x
   x = 4,793,900,644/33,539
6. Step 6: Final answer
   x = 142,935.11