Finding the Third Proportional to 1,537.88 and 2,440.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.88 : 2,440.69 = 2,440.69 : x
2. Step 2: Convert to fraction form
   1,537.88/2,440.69 = 2,440.69/x
3. Step 3: Cross multiply
   1,537.88x = 2,440.69 × 2,440.69
4. Step 4: Simplify right side
   1,537.88x = 5,956,955.47
5. Step 5: Solve for x
   x = 5,956,955.47/1,537.88
6. Step 6: Final answer
   x = 3,873.50