Finding the Third Proportional to 2,092.50 and 4,133.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.50 : 4,133.25 = 4,133.25 : x
2. Step 2: Convert to fraction form
   2,092.50/4,133.25 = 4,133.25/x
3. Step 3: Cross multiply
   2,092.50x = 4,133.25 × 4,133.25
4. Step 4: Simplify right side
   2,092.50x = 17,083,755.56
5. Step 5: Solve for x
   x = 17,083,755.56/2,092.50
6. Step 6: Final answer
   x = 8,164.28