Finding the Third Proportional to 33,600 and 72,180.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,600 : 72,180.75 = 72,180.75 : x
2. Step 2: Convert to fraction form
   33,600/72,180.75 = 72,180.75/x
3. Step 3: Cross multiply
   33,600x = 72,180.75 × 72,180.75
4. Step 4: Simplify right side
   33,600x = 5,210,060,670.56
5. Step 5: Solve for x
   x = 5,210,060,670.56/33,600
6. Step 6: Final answer
   x = 155,061.33