Finding the Third Proportional to 13,867 and 21,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,867 : 21,314.50 = 21,314.50 : x
2. Step 2: Convert to fraction form
   13,867/21,314.50 = 21,314.50/x
3. Step 3: Cross multiply
   13,867x = 21,314.50 × 21,314.50
4. Step 4: Simplify right side
   13,867x = 454,307,910.25
5. Step 5: Solve for x
   x = 454,307,910.25/13,867
6. Step 6: Final answer
   x = 32,761.80