Finding the Third Proportional to 12,840.38 and 19,219.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,840.38 : 19,219.88 = 19,219.88 : x
2. Step 2: Convert to fraction form
   12,840.38/19,219.88 = 19,219.88/x
3. Step 3: Cross multiply
   12,840.38x = 19,219.88 × 19,219.88
4. Step 4: Simplify right side
   12,840.38x = 369,403,595.02
5. Step 5: Solve for x
   x = 369,403,595.02/12,840.38
6. Step 6: Final answer
   x = 28,768.91