Finding the Third Proportional to 19,804.50 and 31,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,804.50 : 31,846.50 = 31,846.50 : x
2. Step 2: Convert to fraction form
   19,804.50/31,846.50 = 31,846.50/x
3. Step 3: Cross multiply
   19,804.50x = 31,846.50 × 31,846.50
4. Step 4: Simplify right side
   19,804.50x = 1,014,199,562.25
5. Step 5: Solve for x
   x = 1,014,199,562.25/19,804.50
6. Step 6: Final answer
   x = 51,210.56