Finding the Third Proportional to 33,264 and 72,069.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,264 : 72,069.75 = 72,069.75 : x
2. Step 2: Convert to fraction form
   33,264/72,069.75 = 72,069.75/x
3. Step 3: Cross multiply
   33,264x = 72,069.75 × 72,069.75
4. Step 4: Simplify right side
   33,264x = 5,194,048,865.06
5. Step 5: Solve for x
   x = 5,194,048,865.06/33,264
6. Step 6: Final answer
   x = 156,146.25