Finding the Third Proportional to 11,840 and 25,705

Step by Step Solution

1. Step 1: Write the proportion equation
   11,840 : 25,705 = 25,705 : x
2. Step 2: Convert to fraction form
   11,840/25,705 = 25,705/x
3. Step 3: Cross multiply
   11,840x = 25,705 × 25,705
4. Step 4: Simplify right side
   11,840x = 660,747,025
5. Step 5: Solve for x
   x = 660,747,025/11,840
6. Step 6: Final answer
   x = 55,806.34