Finding the Third Proportional to 33,596 and 69,988

Step by Step Solution

1. Step 1: Write the proportion equation
   33,596 : 69,988 = 69,988 : x
2. Step 2: Convert to fraction form
   33,596/69,988 = 69,988/x
3. Step 3: Cross multiply
   33,596x = 69,988 × 69,988
4. Step 4: Simplify right side
   33,596x = 4,898,320,144
5. Step 5: Solve for x
   x = 4,898,320,144/33,596
6. Step 6: Final answer
   x = 145,800.69