Finding the Third Proportional to 2,117.06 and 4,644.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,117.06 : 4,644.38 = 4,644.38 : x
2. Step 2: Convert to fraction form
   2,117.06/4,644.38 = 4,644.38/x
3. Step 3: Cross multiply
   2,117.06x = 4,644.38 × 4,644.38
4. Step 4: Simplify right side
   2,117.06x = 21,570,219.14
5. Step 5: Solve for x
   x = 21,570,219.14/2,117.06
6. Step 6: Final answer
   x = 10,188.75