Finding the Third Proportional to 35,778 and 70,653.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,778 : 70,653.75 = 70,653.75 : x
2. Step 2: Convert to fraction form
   35,778/70,653.75 = 70,653.75/x
3. Step 3: Cross multiply
   35,778x = 70,653.75 × 70,653.75
4. Step 4: Simplify right side
   35,778x = 4,991,952,389.06
5. Step 5: Solve for x
   x = 4,991,952,389.06/35,778
6. Step 6: Final answer
   x = 139,525.75