Finding the Third Proportional to 50,410 and 75,126

Step by Step Solution

1. Step 1: Write the proportion equation
   50,410 : 75,126 = 75,126 : x
2. Step 2: Convert to fraction form
   50,410/75,126 = 75,126/x
3. Step 3: Cross multiply
   50,410x = 75,126 × 75,126
4. Step 4: Simplify right side
   50,410x = 5,643,915,876
5. Step 5: Solve for x
   x = 5,643,915,876/50,410
6. Step 6: Final answer
   x = 111,960.24