Finding the Third Proportional to 33,544.50 and 69,216

Step by Step Solution

1. Step 1: Write the proportion equation
   33,544.50 : 69,216 = 69,216 : x
2. Step 2: Convert to fraction form
   33,544.50/69,216 = 69,216/x
3. Step 3: Cross multiply
   33,544.50x = 69,216 × 69,216
4. Step 4: Simplify right side
   33,544.50x = 4,790,854,656
5. Step 5: Solve for x
   x = 4,790,854,656/33,544.50
6. Step 6: Final answer
   x = 142,820.87