Finding the Third Proportional to 12,982.50 and 19,038.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,982.50 : 19,038.38 = 19,038.38 : x
2. Step 2: Convert to fraction form
   12,982.50/19,038.38 = 19,038.38/x
3. Step 3: Cross multiply
   12,982.50x = 19,038.38 × 19,038.38
4. Step 4: Simplify right side
   12,982.50x = 362,459,722.64
5. Step 5: Solve for x
   x = 362,459,722.64/12,982.50
6. Step 6: Final answer
   x = 27,919.10