Finding the Third Proportional to 10,009.50 and 16,123

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.50 : 16,123 = 16,123 : x
2. Step 2: Convert to fraction form
   10,009.50/16,123 = 16,123/x
3. Step 3: Cross multiply
   10,009.50x = 16,123 × 16,123
4. Step 4: Simplify right side
   10,009.50x = 259,951,129
5. Step 5: Solve for x
   x = 259,951,129/10,009.50
6. Step 6: Final answer
   x = 25,970.44