Finding the Third Proportional to 13,855.50 and 19,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,855.50 : 19,523.25 = 19,523.25 : x
2. Step 2: Convert to fraction form
   13,855.50/19,523.25 = 19,523.25/x
3. Step 3: Cross multiply
   13,855.50x = 19,523.25 × 19,523.25
4. Step 4: Simplify right side
   13,855.50x = 381,157,290.56
5. Step 5: Solve for x
   x = 381,157,290.56/13,855.50
6. Step 6: Final answer
   x = 27,509.46