Finding the Third Proportional to 13,794 and 20,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,794 : 20,173.50 = 20,173.50 : x
2. Step 2: Convert to fraction form
   13,794/20,173.50 = 20,173.50/x
3. Step 3: Cross multiply
   13,794x = 20,173.50 × 20,173.50
4. Step 4: Simplify right side
   13,794x = 406,970,102.25
5. Step 5: Solve for x
   x = 406,970,102.25/13,794
6. Step 6: Final answer
   x = 29,503.41