Finding the Third Proportional to 11,776 and 13,120

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776 : 13,120 = 13,120 : x
2. Step 2: Convert to fraction form
   11,776/13,120 = 13,120/x
3. Step 3: Cross multiply
   11,776x = 13,120 × 13,120
4. Step 4: Simplify right side
   11,776x = 172,134,400
5. Step 5: Solve for x
   x = 172,134,400/11,776
6. Step 6: Final answer
   x = 14,617.39