Finding the Third Proportional to 10,743 and 16,602

Step by Step Solution

1. Step 1: Write the proportion equation
   10,743 : 16,602 = 16,602 : x
2. Step 2: Convert to fraction form
   10,743/16,602 = 16,602/x
3. Step 3: Cross multiply
   10,743x = 16,602 × 16,602
4. Step 4: Simplify right side
   10,743x = 275,626,404
5. Step 5: Solve for x
   x = 275,626,404/10,743
6. Step 6: Final answer
   x = 25,656.37