Finding the Third Proportional to 19,775.25 and 31,421.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,775.25 : 31,421.25 = 31,421.25 : x
2. Step 2: Convert to fraction form
   19,775.25/31,421.25 = 31,421.25/x
3. Step 3: Cross multiply
   19,775.25x = 31,421.25 × 31,421.25
4. Step 4: Simplify right side
   19,775.25x = 987,294,951.56
5. Step 5: Solve for x
   x = 987,294,951.56/19,775.25
6. Step 6: Final answer
   x = 49,925.79