Finding the Third Proportional to 9,116 and 13,036

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116 : 13,036 = 13,036 : x
2. Step 2: Convert to fraction form
   9,116/13,036 = 13,036/x
3. Step 3: Cross multiply
   9,116x = 13,036 × 13,036
4. Step 4: Simplify right side
   9,116x = 169,937,296
5. Step 5: Solve for x
   x = 169,937,296/9,116
6. Step 6: Final answer
   x = 18,641.65