Finding the Third Proportional to 33,469 and 72,769

Step by Step Solution

1. Step 1: Write the proportion equation
   33,469 : 72,769 = 72,769 : x
2. Step 2: Convert to fraction form
   33,469/72,769 = 72,769/x
3. Step 3: Cross multiply
   33,469x = 72,769 × 72,769
4. Step 4: Simplify right side
   33,469x = 5,295,327,361
5. Step 5: Solve for x
   x = 5,295,327,361/33,469
6. Step 6: Final answer
   x = 158,215.88