Finding the Third Proportional to 8,072 and 12,964

Step by Step Solution

1. Step 1: Write the proportion equation
   8,072 : 12,964 = 12,964 : x
2. Step 2: Convert to fraction form
   8,072/12,964 = 12,964/x
3. Step 3: Cross multiply
   8,072x = 12,964 × 12,964
4. Step 4: Simplify right side
   8,072x = 168,065,296
5. Step 5: Solve for x
   x = 168,065,296/8,072
6. Step 6: Final answer
   x = 20,820.78