Finding the Third Proportional to 9,769 and 15,139

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769 : 15,139 = 15,139 : x
2. Step 2: Convert to fraction form
   9,769/15,139 = 15,139/x
3. Step 3: Cross multiply
   9,769x = 15,139 × 15,139
4. Step 4: Simplify right side
   9,769x = 229,189,321
5. Step 5: Solve for x
   x = 229,189,321/9,769
6. Step 6: Final answer
   x = 23,460.88