Finding the Third Proportional to 1,506.75 and 2,357.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.75 : 2,357.25 = 2,357.25 : x
2. Step 2: Convert to fraction form
   1,506.75/2,357.25 = 2,357.25/x
3. Step 3: Cross multiply
   1,506.75x = 2,357.25 × 2,357.25
4. Step 4: Simplify right side
   1,506.75x = 5,556,627.56
5. Step 5: Solve for x
   x = 5,556,627.56/1,506.75
6. Step 6: Final answer
   x = 3,687.82