Finding the Third Proportional to 17,859 and 34,097

Step by Step Solution

1. Step 1: Write the proportion equation
   17,859 : 34,097 = 34,097 : x
2. Step 2: Convert to fraction form
   17,859/34,097 = 34,097/x
3. Step 3: Cross multiply
   17,859x = 34,097 × 34,097
4. Step 4: Simplify right side
   17,859x = 1,162,605,409
5. Step 5: Solve for x
   x = 1,162,605,409/17,859
6. Step 6: Final answer
   x = 65,099.13