Finding the Third Proportional to 35,845 and 70,807

Step by Step Solution

1. Step 1: Write the proportion equation
   35,845 : 70,807 = 70,807 : x
2. Step 2: Convert to fraction form
   35,845/70,807 = 70,807/x
3. Step 3: Cross multiply
   35,845x = 70,807 × 70,807
4. Step 4: Simplify right side
   35,845x = 5,013,631,249
5. Step 5: Solve for x
   x = 5,013,631,249/35,845
6. Step 6: Final answer
   x = 139,869.75