Finding the Third Proportional to 1,052.50 and 2,105

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.50 : 2,105 = 2,105 : x
2. Step 2: Convert to fraction form
   1,052.50/2,105 = 2,105/x
3. Step 3: Cross multiply
   1,052.50x = 2,105 × 2,105
4. Step 4: Simplify right side
   1,052.50x = 4,431,025
5. Step 5: Solve for x
   x = 4,431,025/1,052.50
6. Step 6: Final answer
   x = 4,210