Finding the Third Proportional to 33,486 and 69,150

Step by Step Solution

1. Step 1: Write the proportion equation
   33,486 : 69,150 = 69,150 : x
2. Step 2: Convert to fraction form
   33,486/69,150 = 69,150/x
3. Step 3: Cross multiply
   33,486x = 69,150 × 69,150
4. Step 4: Simplify right side
   33,486x = 4,781,722,500
5. Step 5: Solve for x
   x = 4,781,722,500/33,486
6. Step 6: Final answer
   x = 142,797.66