Finding the Third Proportional to 13,878 and 20,327.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878 : 20,327.63 = 20,327.63 : x
2. Step 2: Convert to fraction form
   13,878/20,327.63 = 20,327.63/x
3. Step 3: Cross multiply
   13,878x = 20,327.63 × 20,327.63
4. Step 4: Simplify right side
   13,878x = 413,212,338.14
5. Step 5: Solve for x
   x = 413,212,338.14/13,878
6. Step 6: Final answer
   x = 29,774.63