Finding the Third Proportional to 1,516.50 and 2,287.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.50 : 2,287.88 = 2,287.88 : x
2. Step 2: Convert to fraction form
   1,516.50/2,287.88 = 2,287.88/x
3. Step 3: Cross multiply
   1,516.50x = 2,287.88 × 2,287.88
4. Step 4: Simplify right side
   1,516.50x = 5,234,372.02
5. Step 5: Solve for x
   x = 5,234,372.02/1,516.50
6. Step 6: Final answer
   x = 3,451.61