Finding the Third Proportional to 20,019 and 31,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,019 : 31,162.50 = 31,162.50 : x
2. Step 2: Convert to fraction form
   20,019/31,162.50 = 31,162.50/x
3. Step 3: Cross multiply
   20,019x = 31,162.50 × 31,162.50
4. Step 4: Simplify right side
   20,019x = 971,101,406.25
5. Step 5: Solve for x
   x = 971,101,406.25/20,019
6. Step 6: Final answer
   x = 48,508.99