Finding the Third Proportional to 19,986 and 31,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,986 : 31,855.50 = 31,855.50 : x
2. Step 2: Convert to fraction form
   19,986/31,855.50 = 31,855.50/x
3. Step 3: Cross multiply
   19,986x = 31,855.50 × 31,855.50
4. Step 4: Simplify right side
   19,986x = 1,014,772,880.25
5. Step 5: Solve for x
   x = 1,014,772,880.25/19,986
6. Step 6: Final answer
   x = 50,774.19