Finding the Third Proportional to 10,216.13 and 19,789.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.13 : 19,789.31 = 19,789.31 : x
2. Step 2: Convert to fraction form
   10,216.13/19,789.31 = 19,789.31/x
3. Step 3: Cross multiply
   10,216.13x = 19,789.31 × 19,789.31
4. Step 4: Simplify right side
   10,216.13x = 391,616,889.22
5. Step 5: Solve for x
   x = 391,616,889.22/10,216.13
6. Step 6: Final answer
   x = 38,333.21