Finding the Third Proportional to 32,858 and 71,722

Step by Step Solution

1. Step 1: Write the proportion equation
   32,858 : 71,722 = 71,722 : x
2. Step 2: Convert to fraction form
   32,858/71,722 = 71,722/x
3. Step 3: Cross multiply
   32,858x = 71,722 × 71,722
4. Step 4: Simplify right side
   32,858x = 5,144,045,284
5. Step 5: Solve for x
   x = 5,144,045,284/32,858
6. Step 6: Final answer
   x = 156,553.82