Finding the Third Proportional to 10,099.50 and 22,123

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.50 : 22,123 = 22,123 : x
2. Step 2: Convert to fraction form
   10,099.50/22,123 = 22,123/x
3. Step 3: Cross multiply
   10,099.50x = 22,123 × 22,123
4. Step 4: Simplify right side
   10,099.50x = 489,427,129
5. Step 5: Solve for x
   x = 489,427,129/10,099.50
6. Step 6: Final answer
   x = 48,460.53