Finding the Third Proportional to 7,692.47 and 13,786.45

Step by Step Solution

1. Step 1: Write the proportion equation
   7,692.47 : 13,786.45 = 13,786.45 : x
2. Step 2: Convert to fraction form
   7,692.47/13,786.45 = 13,786.45/x
3. Step 3: Cross multiply
   7,692.47x = 13,786.45 × 13,786.45
4. Step 4: Simplify right side
   7,692.47x = 190,066,289.77
5. Step 5: Solve for x
   x = 190,066,289.77/7,692.47
6. Step 6: Final answer
   x = 24,708.10