Finding the Third Proportional to 13,683 and 19,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,683 : 19,540.50 = 19,540.50 : x
2. Step 2: Convert to fraction form
   13,683/19,540.50 = 19,540.50/x
3. Step 3: Cross multiply
   13,683x = 19,540.50 × 19,540.50
4. Step 4: Simplify right side
   13,683x = 381,831,140.25
5. Step 5: Solve for x
   x = 381,831,140.25/13,683
6. Step 6: Final answer
   x = 27,905.51