Finding the Third Proportional to 20,581 and 31,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,581 : 31,315.50 = 31,315.50 : x
2. Step 2: Convert to fraction form
   20,581/31,315.50 = 31,315.50/x
3. Step 3: Cross multiply
   20,581x = 31,315.50 × 31,315.50
4. Step 4: Simplify right side
   20,581x = 980,660,540.25
5. Step 5: Solve for x
   x = 980,660,540.25/20,581
6. Step 6: Final answer
   x = 47,648.83