Finding the Third Proportional to 12,715 and 19,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,715 : 19,671.50 = 19,671.50 : x
2. Step 2: Convert to fraction form
   12,715/19,671.50 = 19,671.50/x
3. Step 3: Cross multiply
   12,715x = 19,671.50 × 19,671.50
4. Step 4: Simplify right side
   12,715x = 386,967,912.25
5. Step 5: Solve for x
   x = 386,967,912.25/12,715
6. Step 6: Final answer
   x = 30,433.97