Finding the Third Proportional to 7,724 and 17,870

Step by Step Solution

1. Step 1: Write the proportion equation
   7,724 : 17,870 = 17,870 : x
2. Step 2: Convert to fraction form
   7,724/17,870 = 17,870/x
3. Step 3: Cross multiply
   7,724x = 17,870 × 17,870
4. Step 4: Simplify right side
   7,724x = 319,336,900
5. Step 5: Solve for x
   x = 319,336,900/7,724
6. Step 6: Final answer
   x = 41,343.46