Finding the Third Proportional to 10,096.50 and 22,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.50 : 22,117.50 = 22,117.50 : x
2. Step 2: Convert to fraction form
   10,096.50/22,117.50 = 22,117.50/x
3. Step 3: Cross multiply
   10,096.50x = 22,117.50 × 22,117.50
4. Step 4: Simplify right side
   10,096.50x = 489,183,806.25
5. Step 5: Solve for x
   x = 489,183,806.25/10,096.50
6. Step 6: Final answer
   x = 48,450.83