Finding the Third Proportional to 20,466.38 and 31,698.63

Step by Step Solution

1. Step 1: Write the proportion equation
   20,466.38 : 31,698.63 = 31,698.63 : x
2. Step 2: Convert to fraction form
   20,466.38/31,698.63 = 31,698.63/x
3. Step 3: Cross multiply
   20,466.38x = 31,698.63 × 31,698.63
4. Step 4: Simplify right side
   20,466.38x = 1,004,802,826.89
5. Step 5: Solve for x
   x = 1,004,802,826.89/20,466.38
6. Step 6: Final answer
   x = 49,095.30