Finding the Third Proportional to 71,706 and 105,019

Step by Step Solution

1. Step 1: Write the proportion equation
   71,706 : 105,019 = 105,019 : x
2. Step 2: Convert to fraction form
   71,706/105,019 = 105,019/x
3. Step 3: Cross multiply
   71,706x = 105,019 × 105,019
4. Step 4: Simplify right side
   71,706x = 11,028,990,361
5. Step 5: Solve for x
   x = 11,028,990,361/71,706
6. Step 6: Final answer
   x = 153,808.47