Finding the Third Proportional to 20,314.50 and 31,011.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,314.50 : 31,011.75 = 31,011.75 : x
2. Step 2: Convert to fraction form
   20,314.50/31,011.75 = 31,011.75/x
3. Step 3: Cross multiply
   20,314.50x = 31,011.75 × 31,011.75
4. Step 4: Simplify right side
   20,314.50x = 961,728,638.06
5. Step 5: Solve for x
   x = 961,728,638.06/20,314.50
6. Step 6: Final answer
   x = 47,341.98