Finding the Third Proportional to 10,746 and 23,172

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 23,172 = 23,172 : x
2. Step 2: Convert to fraction form
   10,746/23,172 = 23,172/x
3. Step 3: Cross multiply
   10,746x = 23,172 × 23,172
4. Step 4: Simplify right side
   10,746x = 536,941,584
5. Step 5: Solve for x
   x = 536,941,584/10,746
6. Step 6: Final answer
   x = 49,966.65