Finding the Third Proportional to 2,111.13 and 4,707.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.13 : 4,707.69 = 4,707.69 : x
2. Step 2: Convert to fraction form
   2,111.13/4,707.69 = 4,707.69/x
3. Step 3: Cross multiply
   2,111.13x = 4,707.69 × 4,707.69
4. Step 4: Simplify right side
   2,111.13x = 22,162,321.60
5. Step 5: Solve for x
   x = 22,162,321.60/2,111.13
6. Step 6: Final answer
   x = 10,497.87