Finding the Third Proportional to 2,191.27 and 4,690.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.27 : 4,690.09 = 4,690.09 : x
2. Step 2: Convert to fraction form
   2,191.27/4,690.09 = 4,690.09/x
3. Step 3: Cross multiply
   2,191.27x = 4,690.09 × 4,690.09
4. Step 4: Simplify right side
   2,191.27x = 21,996,942.74
5. Step 5: Solve for x
   x = 21,996,942.74/2,191.27
6. Step 6: Final answer
   x = 10,038.44