Finding the Third Proportional to 2,119.78 and 4,611.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.78 : 4,611.09 = 4,611.09 : x
2. Step 2: Convert to fraction form
   2,119.78/4,611.09 = 4,611.09/x
3. Step 3: Cross multiply
   2,119.78x = 4,611.09 × 4,611.09
4. Step 4: Simplify right side
   2,119.78x = 21,262,185.57
5. Step 5: Solve for x
   x = 21,262,185.57/2,119.78
6. Step 6: Final answer
   x = 10,030.37