Finding the Third Proportional to 9,174 and 19,770

Step by Step Solution

1. Step 1: Write the proportion equation
   9,174 : 19,770 = 19,770 : x
2. Step 2: Convert to fraction form
   9,174/19,770 = 19,770/x
3. Step 3: Cross multiply
   9,174x = 19,770 × 19,770
4. Step 4: Simplify right side
   9,174x = 390,852,900
5. Step 5: Solve for x
   x = 390,852,900/9,174
6. Step 6: Final answer
   x = 42,604.41