Finding the Third Proportional to 13,004 and 30,686

Step by Step Solution

1. Step 1: Write the proportion equation
   13,004 : 30,686 = 30,686 : x
2. Step 2: Convert to fraction form
   13,004/30,686 = 30,686/x
3. Step 3: Cross multiply
   13,004x = 30,686 × 30,686
4. Step 4: Simplify right side
   13,004x = 941,630,596
5. Step 5: Solve for x
   x = 941,630,596/13,004
6. Step 6: Final answer
   x = 72,410.84