Finding the Third Proportional to 13,821.89 and 20,848.64

Step by Step Solution

1. Step 1: Write the proportion equation
   13,821.89 : 20,848.64 = 20,848.64 : x
2. Step 2: Convert to fraction form
   13,821.89/20,848.64 = 20,848.64/x
3. Step 3: Cross multiply
   13,821.89x = 20,848.64 × 20,848.64
4. Step 4: Simplify right side
   13,821.89x = 434,665,815.91
5. Step 5: Solve for x
   x = 434,665,815.91/13,821.89
6. Step 6: Final answer
   x = 31,447.64