Finding the Third Proportional to 10,784 and 12,272

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 12,272 = 12,272 : x
2. Step 2: Convert to fraction form
   10,784/12,272 = 12,272/x
3. Step 3: Cross multiply
   10,784x = 12,272 × 12,272
4. Step 4: Simplify right side
   10,784x = 150,601,984
5. Step 5: Solve for x
   x = 150,601,984/10,784
6. Step 6: Final answer
   x = 13,965.32