Finding the Third Proportional to 8,116 and 13,038

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116 : 13,038 = 13,038 : x
2. Step 2: Convert to fraction form
   8,116/13,038 = 13,038/x
3. Step 3: Cross multiply
   8,116x = 13,038 × 13,038
4. Step 4: Simplify right side
   8,116x = 169,989,444
5. Step 5: Solve for x
   x = 169,989,444/8,116
6. Step 6: Final answer
   x = 20,944.98