Finding the Third Proportional to 10,784 and 16,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 16,658 = 16,658 : x
2. Step 2: Convert to fraction form
   10,784/16,658 = 16,658/x
3. Step 3: Cross multiply
   10,784x = 16,658 × 16,658
4. Step 4: Simplify right side
   10,784x = 277,488,964
5. Step 5: Solve for x
   x = 277,488,964/10,784
6. Step 6: Final answer
   x = 25,731.54