Finding the Third Proportional to 10,300 and 20,964

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300 : 20,964 = 20,964 : x
2. Step 2: Convert to fraction form
   10,300/20,964 = 20,964/x
3. Step 3: Cross multiply
   10,300x = 20,964 × 20,964
4. Step 4: Simplify right side
   10,300x = 439,489,296
5. Step 5: Solve for x
   x = 439,489,296/10,300
6. Step 6: Final answer
   x = 42,668.86