Finding the Third Proportional to 1,052.50 and 2,249.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.50 : 2,249.25 = 2,249.25 : x
2. Step 2: Convert to fraction form
   1,052.50/2,249.25 = 2,249.25/x
3. Step 3: Cross multiply
   1,052.50x = 2,249.25 × 2,249.25
4. Step 4: Simplify right side
   1,052.50x = 5,059,125.56
5. Step 5: Solve for x
   x = 5,059,125.56/1,052.50
6. Step 6: Final answer
   x = 4,806.77