Finding the Third Proportional to 10,784 and 21,964

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 21,964 = 21,964 : x
2. Step 2: Convert to fraction form
   10,784/21,964 = 21,964/x
3. Step 3: Cross multiply
   10,784x = 21,964 × 21,964
4. Step 4: Simplify right side
   10,784x = 482,417,296
5. Step 5: Solve for x
   x = 482,417,296/10,784
6. Step 6: Final answer
   x = 44,734.54