Finding the Third Proportional to 13,896 and 19,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,896 : 19,441.50 = 19,441.50 : x
2. Step 2: Convert to fraction form
   13,896/19,441.50 = 19,441.50/x
3. Step 3: Cross multiply
   13,896x = 19,441.50 × 19,441.50
4. Step 4: Simplify right side
   13,896x = 377,971,922.25
5. Step 5: Solve for x
   x = 377,971,922.25/13,896
6. Step 6: Final answer
   x = 27,200.05