Finding the Third Proportional to 7,695 and 12,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,695 : 12,388.50 = 12,388.50 : x
2. Step 2: Convert to fraction form
   7,695/12,388.50 = 12,388.50/x
3. Step 3: Cross multiply
   7,695x = 12,388.50 × 12,388.50
4. Step 4: Simplify right side
   7,695x = 153,474,932.25
5. Step 5: Solve for x
   x = 153,474,932.25/7,695
6. Step 6: Final answer
   x = 19,944.76