Finding the Third Proportional to 11,784 and 13,012

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784 : 13,012 = 13,012 : x
2. Step 2: Convert to fraction form
   11,784/13,012 = 13,012/x
3. Step 3: Cross multiply
   11,784x = 13,012 × 13,012
4. Step 4: Simplify right side
   11,784x = 169,312,144
5. Step 5: Solve for x
   x = 169,312,144/11,784
6. Step 6: Final answer
   x = 14,367.97