Finding the Third Proportional to 5,512.50 and 14,469.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,512.50 : 14,469.75 = 14,469.75 : x
2. Step 2: Convert to fraction form
   5,512.50/14,469.75 = 14,469.75/x
3. Step 3: Cross multiply
   5,512.50x = 14,469.75 × 14,469.75
4. Step 4: Simplify right side
   5,512.50x = 209,373,665.06
5. Step 5: Solve for x
   x = 209,373,665.06/5,512.50
6. Step 6: Final answer
   x = 37,981.62