Finding the Third Proportional to 36,231 and 41,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,231 : 41,698.50 = 41,698.50 : x
2. Step 2: Convert to fraction form
   36,231/41,698.50 = 41,698.50/x
3. Step 3: Cross multiply
   36,231x = 41,698.50 × 41,698.50
4. Step 4: Simplify right side
   36,231x = 1,738,764,902.25
5. Step 5: Solve for x
   x = 1,738,764,902.25/36,231
6. Step 6: Final answer
   x = 47,991.08