Finding the Third Proportional to 33,538.50 and 69,203.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538.50 : 69,203.25 = 69,203.25 : x
2. Step 2: Convert to fraction form
   33,538.50/69,203.25 = 69,203.25/x
3. Step 3: Cross multiply
   33,538.50x = 69,203.25 × 69,203.25
4. Step 4: Simplify right side
   33,538.50x = 4,789,089,810.56
5. Step 5: Solve for x
   x = 4,789,089,810.56/33,538.50
6. Step 6: Final answer
   x = 142,793.80