Finding the Third Proportional to 10,696 and 25,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 25,766 = 25,766 : x
2. Step 2: Convert to fraction form
   10,696/25,766 = 25,766/x
3. Step 3: Cross multiply
   10,696x = 25,766 × 25,766
4. Step 4: Simplify right side
   10,696x = 663,886,756
5. Step 5: Solve for x
   x = 663,886,756/10,696
6. Step 6: Final answer
   x = 62,068.69