Finding the Third Proportional to 8,523 and 13,083

Step by Step Solution

1. Step 1: Write the proportion equation
   8,523 : 13,083 = 13,083 : x
2. Step 2: Convert to fraction form
   8,523/13,083 = 13,083/x
3. Step 3: Cross multiply
   8,523x = 13,083 × 13,083
4. Step 4: Simplify right side
   8,523x = 171,164,889
5. Step 5: Solve for x
   x = 171,164,889/8,523
6. Step 6: Final answer
   x = 20,082.70