Finding the Third Proportional to 2,072.50 and 2,293

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.50 : 2,293 = 2,293 : x
2. Step 2: Convert to fraction form
   2,072.50/2,293 = 2,293/x
3. Step 3: Cross multiply
   2,072.50x = 2,293 × 2,293
4. Step 4: Simplify right side
   2,072.50x = 5,257,849
5. Step 5: Solve for x
   x = 5,257,849/2,072.50
6. Step 6: Final answer
   x = 2,536.96