Finding the Third Proportional to 13,180.50 and 14,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,180.50 : 14,584.50 = 14,584.50 : x
2. Step 2: Convert to fraction form
   13,180.50/14,584.50 = 14,584.50/x
3. Step 3: Cross multiply
   13,180.50x = 14,584.50 × 14,584.50
4. Step 4: Simplify right side
   13,180.50x = 212,707,640.25
5. Step 5: Solve for x
   x = 212,707,640.25/13,180.50
6. Step 6: Final answer
   x = 16,138.06