Finding the Third Proportional to 31,804 and 71,722

Step by Step Solution

1. Step 1: Write the proportion equation
   31,804 : 71,722 = 71,722 : x
2. Step 2: Convert to fraction form
   31,804/71,722 = 71,722/x
3. Step 3: Cross multiply
   31,804x = 71,722 × 71,722
4. Step 4: Simplify right side
   31,804x = 5,144,045,284
5. Step 5: Solve for x
   x = 5,144,045,284/31,804
6. Step 6: Final answer
   x = 161,742.09