Finding the Third Proportional to 19,730.25 and 31,775.63

Step by Step Solution

1. Step 1: Write the proportion equation
   19,730.25 : 31,775.63 = 31,775.63 : x
2. Step 2: Convert to fraction form
   19,730.25/31,775.63 = 31,775.63/x
3. Step 3: Cross multiply
   19,730.25x = 31,775.63 × 31,775.63
4. Step 4: Simplify right side
   19,730.25x = 1,009,690,344.14
5. Step 5: Solve for x
   x = 1,009,690,344.14/19,730.25
6. Step 6: Final answer
   x = 51,174.74