Finding the Third Proportional to 11,296 and 12,784

Step by Step Solution

1. Step 1: Write the proportion equation
   11,296 : 12,784 = 12,784 : x
2. Step 2: Convert to fraction form
   11,296/12,784 = 12,784/x
3. Step 3: Cross multiply
   11,296x = 12,784 × 12,784
4. Step 4: Simplify right side
   11,296x = 163,430,656
5. Step 5: Solve for x
   x = 163,430,656/11,296
6. Step 6: Final answer
   x = 14,468.01