Finding the Third Proportional to 2,092.50 and 2,790

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.50 : 2,790 = 2,790 : x
2. Step 2: Convert to fraction form
   2,092.50/2,790 = 2,790/x
3. Step 3: Cross multiply
   2,092.50x = 2,790 × 2,790
4. Step 4: Simplify right side
   2,092.50x = 7,784,100
5. Step 5: Solve for x
   x = 7,784,100/2,092.50
6. Step 6: Final answer
   x = 3,720