Finding the Third Proportional to 13,138.88 and 19,659.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,138.88 : 19,659.38 = 19,659.38 : x
2. Step 2: Convert to fraction form
   13,138.88/19,659.38 = 19,659.38/x
3. Step 3: Cross multiply
   13,138.88x = 19,659.38 × 19,659.38
4. Step 4: Simplify right side
   13,138.88x = 386,491,025.39
5. Step 5: Solve for x
   x = 386,491,025.39/13,138.88
6. Step 6: Final answer
   x = 29,415.84