Finding the Third Proportional to 33,066 and 72,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,066 : 72,691.50 = 72,691.50 : x
2. Step 2: Convert to fraction form
   33,066/72,691.50 = 72,691.50/x
3. Step 3: Cross multiply
   33,066x = 72,691.50 × 72,691.50
4. Step 4: Simplify right side
   33,066x = 5,284,054,172.25
5. Step 5: Solve for x
   x = 5,284,054,172.25/33,066
6. Step 6: Final answer
   x = 159,803.25