Finding the Third Proportional to 65,706 and 101,626

Step by Step Solution

1. Step 1: Write the proportion equation
   65,706 : 101,626 = 101,626 : x
2. Step 2: Convert to fraction form
   65,706/101,626 = 101,626/x
3. Step 3: Cross multiply
   65,706x = 101,626 × 101,626
4. Step 4: Simplify right side
   65,706x = 10,327,843,876
5. Step 5: Solve for x
   x = 10,327,843,876/65,706
6. Step 6: Final answer
   x = 157,182.66