Finding the Third Proportional to 5,200 and 12,964

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 12,964 = 12,964 : x
2. Step 2: Convert to fraction form
   5,200/12,964 = 12,964/x
3. Step 3: Cross multiply
   5,200x = 12,964 × 12,964
4. Step 4: Simplify right side
   5,200x = 168,065,296
5. Step 5: Solve for x
   x = 168,065,296/5,200
6. Step 6: Final answer
   x = 32,320.25