Finding the Third Proportional to 23,661 and 51,320

Step by Step Solution

1. Step 1: Write the proportion equation
   23,661 : 51,320 = 51,320 : x
2. Step 2: Convert to fraction form
   23,661/51,320 = 51,320/x
3. Step 3: Cross multiply
   23,661x = 51,320 × 51,320
4. Step 4: Simplify right side
   23,661x = 2,633,742,400
5. Step 5: Solve for x
   x = 2,633,742,400/23,661
6. Step 6: Final answer
   x = 111,311.54