Finding the Third Proportional to 35,775 and 70,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,775 : 70,645.50 = 70,645.50 : x
2. Step 2: Convert to fraction form
   35,775/70,645.50 = 70,645.50/x
3. Step 3: Cross multiply
   35,775x = 70,645.50 × 70,645.50
4. Step 4: Simplify right side
   35,775x = 4,990,786,670.25
5. Step 5: Solve for x
   x = 4,990,786,670.25/35,775
6. Step 6: Final answer
   x = 139,504.87