Finding the Third Proportional to 2,865.50 and 4,560

Step by Step Solution

1. Step 1: Write the proportion equation
   2,865.50 : 4,560 = 4,560 : x
2. Step 2: Convert to fraction form
   2,865.50/4,560 = 4,560/x
3. Step 3: Cross multiply
   2,865.50x = 4,560 × 4,560
4. Step 4: Simplify right side
   2,865.50x = 20,793,600
5. Step 5: Solve for x
   x = 20,793,600/2,865.50
6. Step 6: Final answer
   x = 7,256.53