Finding the Third Proportional to 12,669.38 and 19,874.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,669.38 : 19,874.25 = 19,874.25 : x
2. Step 2: Convert to fraction form
   12,669.38/19,874.25 = 19,874.25/x
3. Step 3: Cross multiply
   12,669.38x = 19,874.25 × 19,874.25
4. Step 4: Simplify right side
   12,669.38x = 394,985,813.06
5. Step 5: Solve for x
   x = 394,985,813.06/12,669.38
6. Step 6: Final answer
   x = 31,176.42