Finding the Third Proportional to 9,078 and 13,377

Step by Step Solution

1. Step 1: Write the proportion equation
   9,078 : 13,377 = 13,377 : x
2. Step 2: Convert to fraction form
   9,078/13,377 = 13,377/x
3. Step 3: Cross multiply
   9,078x = 13,377 × 13,377
4. Step 4: Simplify right side
   9,078x = 178,944,129
5. Step 5: Solve for x
   x = 178,944,129/9,078
6. Step 6: Final answer
   x = 19,711.85