Finding the Third Proportional to 9,760 and 15,630

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760 : 15,630 = 15,630 : x
2. Step 2: Convert to fraction form
   9,760/15,630 = 15,630/x
3. Step 3: Cross multiply
   9,760x = 15,630 × 15,630
4. Step 4: Simplify right side
   9,760x = 244,296,900
5. Step 5: Solve for x
   x = 244,296,900/9,760
6. Step 6: Final answer
   x = 25,030.42