Finding the Third Proportional to 10,023 and 10,815

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023 : 10,815 = 10,815 : x
2. Step 2: Convert to fraction form
   10,023/10,815 = 10,815/x
3. Step 3: Cross multiply
   10,023x = 10,815 × 10,815
4. Step 4: Simplify right side
   10,023x = 116,964,225
5. Step 5: Solve for x
   x = 116,964,225/10,023
6. Step 6: Final answer
   x = 11,669.58