Finding the Third Proportional to 20,739 and 31,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,739 : 31,972.50 = 31,972.50 : x
2. Step 2: Convert to fraction form
   20,739/31,972.50 = 31,972.50/x
3. Step 3: Cross multiply
   20,739x = 31,972.50 × 31,972.50
4. Step 4: Simplify right side
   20,739x = 1,022,240,756.25
5. Step 5: Solve for x
   x = 1,022,240,756.25/20,739
6. Step 6: Final answer
   x = 49,290.74