Finding the Third Proportional to 13,857 and 33,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857 : 33,546.50 = 33,546.50 : x
2. Step 2: Convert to fraction form
   13,857/33,546.50 = 33,546.50/x
3. Step 3: Cross multiply
   13,857x = 33,546.50 × 33,546.50
4. Step 4: Simplify right side
   13,857x = 1,125,367,662.25
5. Step 5: Solve for x
   x = 1,125,367,662.25/13,857
6. Step 6: Final answer
   x = 81,212.94