Finding the Third Proportional to 20,389 and 31,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,389 : 31,511.50 = 31,511.50 : x
2. Step 2: Convert to fraction form
   20,389/31,511.50 = 31,511.50/x
3. Step 3: Cross multiply
   20,389x = 31,511.50 × 31,511.50
4. Step 4: Simplify right side
   20,389x = 992,974,632.25
5. Step 5: Solve for x
   x = 992,974,632.25/20,389
6. Step 6: Final answer
   x = 48,701.49