Finding the Third Proportional to 2,119.31 and 4,618.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.31 : 4,618.22 = 4,618.22 : x
2. Step 2: Convert to fraction form
   2,119.31/4,618.22 = 4,618.22/x
3. Step 3: Cross multiply
   2,119.31x = 4,618.22 × 4,618.22
4. Step 4: Simplify right side
   2,119.31x = 21,327,944.42
5. Step 5: Solve for x
   x = 21,327,944.42/2,119.31
6. Step 6: Final answer
   x = 10,063.61