Finding the Third Proportional to 12,706.88 and 19,659.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,706.88 : 19,659.38 = 19,659.38 : x
2. Step 2: Convert to fraction form
   12,706.88/19,659.38 = 19,659.38/x
3. Step 3: Cross multiply
   12,706.88x = 19,659.38 × 19,659.38
4. Step 4: Simplify right side
   12,706.88x = 386,491,025.39
5. Step 5: Solve for x
   x = 386,491,025.39/12,706.88
6. Step 6: Final answer
   x = 30,415.90