Finding the Third Proportional to 10,736 and 25,862

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 25,862 = 25,862 : x
2. Step 2: Convert to fraction form
   10,736/25,862 = 25,862/x
3. Step 3: Cross multiply
   10,736x = 25,862 × 25,862
4. Step 4: Simplify right side
   10,736x = 668,843,044
5. Step 5: Solve for x
   x = 668,843,044/10,736
6. Step 6: Final answer
   x = 62,299.09