Finding the Third Proportional to 10,158 and 13,533

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158 : 13,533 = 13,533 : x
2. Step 2: Convert to fraction form
   10,158/13,533 = 13,533/x
3. Step 3: Cross multiply
   10,158x = 13,533 × 13,533
4. Step 4: Simplify right side
   10,158x = 183,142,089
5. Step 5: Solve for x
   x = 183,142,089/10,158
6. Step 6: Final answer
   x = 18,029.35