Finding the Third Proportional to 2,117.71 and 4,562.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,117.71 : 4,562.89 = 4,562.89 : x
2. Step 2: Convert to fraction form
   2,117.71/4,562.89 = 4,562.89/x
3. Step 3: Cross multiply
   2,117.71x = 4,562.89 × 4,562.89
4. Step 4: Simplify right side
   2,117.71x = 20,820,006.50
5. Step 5: Solve for x
   x = 20,820,006.50/2,117.71
6. Step 6: Final answer
   x = 9,831.39