Finding the Third Proportional to 1,476 and 2,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,476 : 2,290.50 = 2,290.50 : x
2. Step 2: Convert to fraction form
   1,476/2,290.50 = 2,290.50/x
3. Step 3: Cross multiply
   1,476x = 2,290.50 × 2,290.50
4. Step 4: Simplify right side
   1,476x = 5,246,390.25
5. Step 5: Solve for x
   x = 5,246,390.25/1,476
6. Step 6: Final answer
   x = 3,554.46