Finding the Third Proportional to 71,566 and 105,161

Step by Step Solution

1. Step 1: Write the proportion equation
   71,566 : 105,161 = 105,161 : x
2. Step 2: Convert to fraction form
   71,566/105,161 = 105,161/x
3. Step 3: Cross multiply
   71,566x = 105,161 × 105,161
4. Step 4: Simplify right side
   71,566x = 11,058,835,921
5. Step 5: Solve for x
   x = 11,058,835,921/71,566
6. Step 6: Final answer
   x = 154,526.39