Finding the Third Proportional to 10,378 and 15,123

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378 : 15,123 = 15,123 : x
2. Step 2: Convert to fraction form
   10,378/15,123 = 15,123/x
3. Step 3: Cross multiply
   10,378x = 15,123 × 15,123
4. Step 4: Simplify right side
   10,378x = 228,705,129
5. Step 5: Solve for x
   x = 228,705,129/10,378
6. Step 6: Final answer
   x = 22,037.50