Finding the Third Proportional to 14,384 and 23,096

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 23,096 = 23,096 : x
2. Step 2: Convert to fraction form
   14,384/23,096 = 23,096/x
3. Step 3: Cross multiply
   14,384x = 23,096 × 23,096
4. Step 4: Simplify right side
   14,384x = 533,425,216
5. Step 5: Solve for x
   x = 533,425,216/14,384
6. Step 6: Final answer
   x = 37,084.62