Finding the Third Proportional to 9,270 and 12,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,270 : 12,415.50 = 12,415.50 : x
2. Step 2: Convert to fraction form
   9,270/12,415.50 = 12,415.50/x
3. Step 3: Cross multiply
   9,270x = 12,415.50 × 12,415.50
4. Step 4: Simplify right side
   9,270x = 154,144,640.25
5. Step 5: Solve for x
   x = 154,144,640.25/9,270
6. Step 6: Final answer
   x = 16,628.33