Finding the Third Proportional to 10,303.50 and 19,786.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,303.50 : 19,786.13 = 19,786.13 : x
2. Step 2: Convert to fraction form
   10,303.50/19,786.13 = 19,786.13/x
3. Step 3: Cross multiply
   10,303.50x = 19,786.13 × 19,786.13
4. Step 4: Simplify right side
   10,303.50x = 391,490,742.52
5. Step 5: Solve for x
   x = 391,490,742.52/10,303.50
6. Step 6: Final answer
   x = 37,995.90