Finding the Third Proportional to 10,096 and 23,461

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 23,461 = 23,461 : x
2. Step 2: Convert to fraction form
   10,096/23,461 = 23,461/x
3. Step 3: Cross multiply
   10,096x = 23,461 × 23,461
4. Step 4: Simplify right side
   10,096x = 550,418,521
5. Step 5: Solve for x
   x = 550,418,521/10,096
6. Step 6: Final answer
   x = 54,518.47