Finding the Third Proportional to 2,092.50 and 4,343.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.50 : 4,343.63 = 4,343.63 : x
2. Step 2: Convert to fraction form
   2,092.50/4,343.63 = 4,343.63/x
3. Step 3: Cross multiply
   2,092.50x = 4,343.63 × 4,343.63
4. Step 4: Simplify right side
   2,092.50x = 18,867,078.14
5. Step 5: Solve for x
   x = 18,867,078.14/2,092.50
6. Step 6: Final answer
   x = 9,016.52