Finding the Third Proportional to 12,885 and 19,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,885 : 19,597.50 = 19,597.50 : x
2. Step 2: Convert to fraction form
   12,885/19,597.50 = 19,597.50/x
3. Step 3: Cross multiply
   12,885x = 19,597.50 × 19,597.50
4. Step 4: Simplify right side
   12,885x = 384,062,006.25
5. Step 5: Solve for x
   x = 384,062,006.25/12,885
6. Step 6: Final answer
   x = 29,806.91