Finding the Third Proportional to 35,698.50 and 50,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,698.50 : 50,205.38 = 50,205.38 : x
2. Step 2: Convert to fraction form
   35,698.50/50,205.38 = 50,205.38/x
3. Step 3: Cross multiply
   35,698.50x = 50,205.38 × 50,205.38
4. Step 4: Simplify right side
   35,698.50x = 2,520,579,678.89
5. Step 5: Solve for x
   x = 2,520,579,678.89/35,698.50
6. Step 6: Final answer
   x = 70,607.44