Finding the Third Proportional to 1,496.25 and 2,328.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.25 : 2,328.75 = 2,328.75 : x
2. Step 2: Convert to fraction form
   1,496.25/2,328.75 = 2,328.75/x
3. Step 3: Cross multiply
   1,496.25x = 2,328.75 × 2,328.75
4. Step 4: Simplify right side
   1,496.25x = 5,423,076.56
5. Step 5: Solve for x
   x = 5,423,076.56/1,496.25
6. Step 6: Final answer
   x = 3,624.45