Finding the Third Proportional to 33,188.25 and 72,204.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,188.25 : 72,204.75 = 72,204.75 : x
2. Step 2: Convert to fraction form
   33,188.25/72,204.75 = 72,204.75/x
3. Step 3: Cross multiply
   33,188.25x = 72,204.75 × 72,204.75
4. Step 4: Simplify right side
   33,188.25x = 5,213,525,922.56
5. Step 5: Solve for x
   x = 5,213,525,922.56/33,188.25
6. Step 6: Final answer
   x = 157,089.51