Finding the Third Proportional to 33,266 and 72,699

Step by Step Solution

1. Step 1: Write the proportion equation
   33,266 : 72,699 = 72,699 : x
2. Step 2: Convert to fraction form
   33,266/72,699 = 72,699/x
3. Step 3: Cross multiply
   33,266x = 72,699 × 72,699
4. Step 4: Simplify right side
   33,266x = 5,285,144,601
5. Step 5: Solve for x
   x = 5,285,144,601/33,266
6. Step 6: Final answer
   x = 158,875.27