Finding the Third Proportional to 20,540.25 and 31,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,540.25 : 31,681.50 = 31,681.50 : x
2. Step 2: Convert to fraction form
   20,540.25/31,681.50 = 31,681.50/x
3. Step 3: Cross multiply
   20,540.25x = 31,681.50 × 31,681.50
4. Step 4: Simplify right side
   20,540.25x = 1,003,717,442.25
5. Step 5: Solve for x
   x = 1,003,717,442.25/20,540.25
6. Step 6: Final answer
   x = 48,865.88