Finding the Third Proportional to 10,546 and 18,986

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546 : 18,986 = 18,986 : x
2. Step 2: Convert to fraction form
   10,546/18,986 = 18,986/x
3. Step 3: Cross multiply
   10,546x = 18,986 × 18,986
4. Step 4: Simplify right side
   10,546x = 360,468,196
5. Step 5: Solve for x
   x = 360,468,196/10,546
6. Step 6: Final answer
   x = 34,180.56