Finding the Third Proportional to 33,538.50 and 69,204

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538.50 : 69,204 = 69,204 : x
2. Step 2: Convert to fraction form
   33,538.50/69,204 = 69,204/x
3. Step 3: Cross multiply
   33,538.50x = 69,204 × 69,204
4. Step 4: Simplify right side
   33,538.50x = 4,789,193,616
5. Step 5: Solve for x
   x = 4,789,193,616/33,538.50
6. Step 6: Final answer
   x = 142,796.89