Finding the Third Proportional to 2,092.46 and 4,505.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.46 : 4,505.23 = 4,505.23 : x
2. Step 2: Convert to fraction form
   2,092.46/4,505.23 = 4,505.23/x
3. Step 3: Cross multiply
   2,092.46x = 4,505.23 × 4,505.23
4. Step 4: Simplify right side
   2,092.46x = 20,297,109.48
5. Step 5: Solve for x
   x = 20,297,109.48/2,092.46
6. Step 6: Final answer
   x = 9,700.12