Finding the Third Proportional to 19,822.50 and 31,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,822.50 : 31,873.50 = 31,873.50 : x
2. Step 2: Convert to fraction form
   19,822.50/31,873.50 = 31,873.50/x
3. Step 3: Cross multiply
   19,822.50x = 31,873.50 × 31,873.50
4. Step 4: Simplify right side
   19,822.50x = 1,015,920,002.25
5. Step 5: Solve for x
   x = 1,015,920,002.25/19,822.50
6. Step 6: Final answer
   x = 51,250.85