Finding the Third Proportional to 2,092.13 and 4,588.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.13 : 4,588.69 = 4,588.69 : x
2. Step 2: Convert to fraction form
   2,092.13/4,588.69 = 4,588.69/x
3. Step 3: Cross multiply
   2,092.13x = 4,588.69 × 4,588.69
4. Step 4: Simplify right side
   2,092.13x = 21,056,052.97
5. Step 5: Solve for x
   x = 21,056,052.97/2,092.13
6. Step 6: Final answer
   x = 10,064.43