Finding the Third Proportional to 14,456 and 23,460

Step by Step Solution

1. Step 1: Write the proportion equation
   14,456 : 23,460 = 23,460 : x
2. Step 2: Convert to fraction form
   14,456/23,460 = 23,460/x
3. Step 3: Cross multiply
   14,456x = 23,460 × 23,460
4. Step 4: Simplify right side
   14,456x = 550,371,600
5. Step 5: Solve for x
   x = 550,371,600/14,456
6. Step 6: Final answer
   x = 38,072.19