Finding the Third Proportional to 2,052.50 and 4,456

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.50 : 4,456 = 4,456 : x
2. Step 2: Convert to fraction form
   2,052.50/4,456 = 4,456/x
3. Step 3: Cross multiply
   2,052.50x = 4,456 × 4,456
4. Step 4: Simplify right side
   2,052.50x = 19,855,936
5. Step 5: Solve for x
   x = 19,855,936/2,052.50
6. Step 6: Final answer
   x = 9,674.02