Finding the Third Proportional to 9,199.83 and 19,856.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,199.83 : 19,856.81 = 19,856.81 : x
2. Step 2: Convert to fraction form
   9,199.83/19,856.81 = 19,856.81/x
3. Step 3: Cross multiply
   9,199.83x = 19,856.81 × 19,856.81
4. Step 4: Simplify right side
   9,199.83x = 394,293,002.66
5. Step 5: Solve for x
   x = 394,293,002.66/9,199.83
6. Step 6: Final answer
   x = 42,858.74