Finding the Third Proportional to 33,769 and 71,699

Step by Step Solution

1. Step 1: Write the proportion equation
   33,769 : 71,699 = 71,699 : x
2. Step 2: Convert to fraction form
   33,769/71,699 = 71,699/x
3. Step 3: Cross multiply
   33,769x = 71,699 × 71,699
4. Step 4: Simplify right side
   33,769x = 5,140,746,601
5. Step 5: Solve for x
   x = 5,140,746,601/33,769
6. Step 6: Final answer
   x = 152,232.72