Finding the Third Proportional to 1,052.25 and 1,540.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.25 : 1,540.38 = 1,540.38 : x
2. Step 2: Convert to fraction form
   1,052.25/1,540.38 = 1,540.38/x
3. Step 3: Cross multiply
   1,052.25x = 1,540.38 × 1,540.38
4. Step 4: Simplify right side
   1,052.25x = 2,372,755.14
5. Step 5: Solve for x
   x = 2,372,755.14/1,052.25
6. Step 6: Final answer
   x = 2,254.93