Finding the Third Proportional to 13,878 and 20,808.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878 : 20,808.56 = 20,808.56 : x
2. Step 2: Convert to fraction form
   13,878/20,808.56 = 20,808.56/x
3. Step 3: Cross multiply
   13,878x = 20,808.56 × 20,808.56
4. Step 4: Simplify right side
   13,878x = 432,996,273.32
5. Step 5: Solve for x
   x = 432,996,273.32/13,878
6. Step 6: Final answer
   x = 31,200.19