Finding the Third Proportional to 10,456 and 22,374

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456 : 22,374 = 22,374 : x
2. Step 2: Convert to fraction form
   10,456/22,374 = 22,374/x
3. Step 3: Cross multiply
   10,456x = 22,374 × 22,374
4. Step 4: Simplify right side
   10,456x = 500,595,876
5. Step 5: Solve for x
   x = 500,595,876/10,456
6. Step 6: Final answer
   x = 47,876.42