Finding the Third Proportional to 13,822.50 and 20,848.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,822.50 : 20,848.31 = 20,848.31 : x
2. Step 2: Convert to fraction form
   13,822.50/20,848.31 = 20,848.31/x
3. Step 3: Cross multiply
   13,822.50x = 20,848.31 × 20,848.31
4. Step 4: Simplify right side
   13,822.50x = 434,652,134.10
5. Step 5: Solve for x
   x = 434,652,134.10/13,822.50
6. Step 6: Final answer
   x = 31,445.26