Finding the Third Proportional to 10,769 and 23,097

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769 : 23,097 = 23,097 : x
2. Step 2: Convert to fraction form
   10,769/23,097 = 23,097/x
3. Step 3: Cross multiply
   10,769x = 23,097 × 23,097
4. Step 4: Simplify right side
   10,769x = 533,471,409
5. Step 5: Solve for x
   x = 533,471,409/10,769
6. Step 6: Final answer
   x = 49,537.69