Finding the Third Proportional to 1,540.88 and 2,372.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.88 : 2,372.25 = 2,372.25 : x
2. Step 2: Convert to fraction form
   1,540.88/2,372.25 = 2,372.25/x
3. Step 3: Cross multiply
   1,540.88x = 2,372.25 × 2,372.25
4. Step 4: Simplify right side
   1,540.88x = 5,627,570.06
5. Step 5: Solve for x
   x = 5,627,570.06/1,540.88
6. Step 6: Final answer
   x = 3,652.19