Finding the Third Proportional to 9,270 and 13,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,270 : 13,855.50 = 13,855.50 : x
2. Step 2: Convert to fraction form
   9,270/13,855.50 = 13,855.50/x
3. Step 3: Cross multiply
   9,270x = 13,855.50 × 13,855.50
4. Step 4: Simplify right side
   9,270x = 191,974,880.25
5. Step 5: Solve for x
   x = 191,974,880.25/9,270
6. Step 6: Final answer
   x = 20,709.26