Finding the Third Proportional to 35,771 and 70,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,771 : 70,641.50 = 70,641.50 : x
2. Step 2: Convert to fraction form
   35,771/70,641.50 = 70,641.50/x
3. Step 3: Cross multiply
   35,771x = 70,641.50 × 70,641.50
4. Step 4: Simplify right side
   35,771x = 4,990,221,522.25
5. Step 5: Solve for x
   x = 4,990,221,522.25/35,771
6. Step 6: Final answer
   x = 139,504.67