Finding the Third Proportional to 1,506 and 2,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506 : 2,404.75 = 2,404.75 : x
2. Step 2: Convert to fraction form
   1,506/2,404.75 = 2,404.75/x
3. Step 3: Cross multiply
   1,506x = 2,404.75 × 2,404.75
4. Step 4: Simplify right side
   1,506x = 5,782,822.56
5. Step 5: Solve for x
   x = 5,782,822.56/1,506
6. Step 6: Final answer
   x = 3,839.86