Finding the Third Proportional to 33,500 and 69,757

Step by Step Solution

1. Step 1: Write the proportion equation
   33,500 : 69,757 = 69,757 : x
2. Step 2: Convert to fraction form
   33,500/69,757 = 69,757/x
3. Step 3: Cross multiply
   33,500x = 69,757 × 69,757
4. Step 4: Simplify right side
   33,500x = 4,866,039,049
5. Step 5: Solve for x
   x = 4,866,039,049/33,500
6. Step 6: Final answer
   x = 145,254.90