Finding the Third Proportional to 10,317.38 and 19,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,317.38 : 19,813.50 = 19,813.50 : x
2. Step 2: Convert to fraction form
   10,317.38/19,813.50 = 19,813.50/x
3. Step 3: Cross multiply
   10,317.38x = 19,813.50 × 19,813.50
4. Step 4: Simplify right side
   10,317.38x = 392,574,782.25
5. Step 5: Solve for x
   x = 392,574,782.25/10,317.38
6. Step 6: Final answer
   x = 38,049.87