Finding the Third Proportional to 10,706 and 25,788

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706 : 25,788 = 25,788 : x
2. Step 2: Convert to fraction form
   10,706/25,788 = 25,788/x
3. Step 3: Cross multiply
   10,706x = 25,788 × 25,788
4. Step 4: Simplify right side
   10,706x = 665,020,944
5. Step 5: Solve for x
   x = 665,020,944/10,706
6. Step 6: Final answer
   x = 62,116.66