Finding the Third Proportional to 21,231 and 31,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,231 : 31,855.50 = 31,855.50 : x
2. Step 2: Convert to fraction form
   21,231/31,855.50 = 31,855.50/x
3. Step 3: Cross multiply
   21,231x = 31,855.50 × 31,855.50
4. Step 4: Simplify right side
   21,231x = 1,014,772,880.25
5. Step 5: Solve for x
   x = 1,014,772,880.25/21,231
6. Step 6: Final answer
   x = 47,796.75