Finding the Third Proportional to 10,738 and 17,083

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738 : 17,083 = 17,083 : x
2. Step 2: Convert to fraction form
   10,738/17,083 = 17,083/x
3. Step 3: Cross multiply
   10,738x = 17,083 × 17,083
4. Step 4: Simplify right side
   10,738x = 291,828,889
5. Step 5: Solve for x
   x = 291,828,889/10,738
6. Step 6: Final answer
   x = 27,177.21