Finding the Third Proportional to 33,066 and 72,362

Step by Step Solution

1. Step 1: Write the proportion equation
   33,066 : 72,362 = 72,362 : x
2. Step 2: Convert to fraction form
   33,066/72,362 = 72,362/x
3. Step 3: Cross multiply
   33,066x = 72,362 × 72,362
4. Step 4: Simplify right side
   33,066x = 5,236,259,044
5. Step 5: Solve for x
   x = 5,236,259,044/33,066
6. Step 6: Final answer
   x = 158,357.80