Finding the Third Proportional to 2,002.50 and 4,677

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.50 : 4,677 = 4,677 : x
2. Step 2: Convert to fraction form
   2,002.50/4,677 = 4,677/x
3. Step 3: Cross multiply
   2,002.50x = 4,677 × 4,677
4. Step 4: Simplify right side
   2,002.50x = 21,874,329
5. Step 5: Solve for x
   x = 21,874,329/2,002.50
6. Step 6: Final answer
   x = 10,923.51