Finding the Third Proportional to 2,038.22 and 4,372.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.22 : 4,372.59 = 4,372.59 : x
2. Step 2: Convert to fraction form
   2,038.22/4,372.59 = 4,372.59/x
3. Step 3: Cross multiply
   2,038.22x = 4,372.59 × 4,372.59
4. Step 4: Simplify right side
   2,038.22x = 19,119,576.10
5. Step 5: Solve for x
   x = 19,119,576.10/2,038.22
6. Step 6: Final answer
   x = 9,380.53