Finding the Third Proportional to 11,400 and 23,705

Step by Step Solution

1. Step 1: Write the proportion equation
   11,400 : 23,705 = 23,705 : x
2. Step 2: Convert to fraction form
   11,400/23,705 = 23,705/x
3. Step 3: Cross multiply
   11,400x = 23,705 × 23,705
4. Step 4: Simplify right side
   11,400x = 561,927,025
5. Step 5: Solve for x
   x = 561,927,025/11,400
6. Step 6: Final answer
   x = 49,291.84