Finding the Third Proportional to 2,000 and 2,300

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000 : 2,300 = 2,300 : x
2. Step 2: Convert to fraction form
   2,000/2,300 = 2,300/x
3. Step 3: Cross multiply
   2,000x = 2,300 × 2,300
4. Step 4: Simplify right side
   2,000x = 5,290,000
5. Step 5: Solve for x
   x = 5,290,000/2,000
6. Step 6: Final answer
   x = 2,645