Finding the Third Proportional to 17,862 and 34,102

Step by Step Solution

1. Step 1: Write the proportion equation
   17,862 : 34,102 = 34,102 : x
2. Step 2: Convert to fraction form
   17,862/34,102 = 34,102/x
3. Step 3: Cross multiply
   17,862x = 34,102 × 34,102
4. Step 4: Simplify right side
   17,862x = 1,162,946,404
5. Step 5: Solve for x
   x = 1,162,946,404/17,862
6. Step 6: Final answer
   x = 65,107.29