Finding the Third Proportional to 11,380 and 12,838

Step by Step Solution

1. Step 1: Write the proportion equation
   11,380 : 12,838 = 12,838 : x
2. Step 2: Convert to fraction form
   11,380/12,838 = 12,838/x
3. Step 3: Cross multiply
   11,380x = 12,838 × 12,838
4. Step 4: Simplify right side
   11,380x = 164,814,244
5. Step 5: Solve for x
   x = 164,814,244/11,380
6. Step 6: Final answer
   x = 14,482.80