Finding the Third Proportional to 13,638.38 and 19,318.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,638.38 : 19,318.50 = 19,318.50 : x
2. Step 2: Convert to fraction form
   13,638.38/19,318.50 = 19,318.50/x
3. Step 3: Cross multiply
   13,638.38x = 19,318.50 × 19,318.50
4. Step 4: Simplify right side
   13,638.38x = 373,204,442.25
5. Step 5: Solve for x
   x = 373,204,442.25/13,638.38
6. Step 6: Final answer
   x = 27,364.29