Finding the Third Proportional to 13,873.78 and 33,813.07

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873.78 : 33,813.07 = 33,813.07 : x
2. Step 2: Convert to fraction form
   13,873.78/33,813.07 = 33,813.07/x
3. Step 3: Cross multiply
   13,873.78x = 33,813.07 × 33,813.07
4. Step 4: Simplify right side
   13,873.78x = 1,143,323,723.96
5. Step 5: Solve for x
   x = 1,143,323,723.96/13,873.78
6. Step 6: Final answer
   x = 82,408.95