Finding the Third Proportional to 33,536.25 and 69,198.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536.25 : 69,198.75 = 69,198.75 : x
2. Step 2: Convert to fraction form
   33,536.25/69,198.75 = 69,198.75/x
3. Step 3: Cross multiply
   33,536.25x = 69,198.75 × 69,198.75
4. Step 4: Simplify right side
   33,536.25x = 4,788,467,001.56
5. Step 5: Solve for x
   x = 4,788,467,001.56/33,536.25
6. Step 6: Final answer
   x = 142,784.81