Finding the Third Proportional to 49,410 and 102,096

Step by Step Solution

1. Step 1: Write the proportion equation
   49,410 : 102,096 = 102,096 : x
2. Step 2: Convert to fraction form
   49,410/102,096 = 102,096/x
3. Step 3: Cross multiply
   49,410x = 102,096 × 102,096
4. Step 4: Simplify right side
   49,410x = 10,423,593,216
5. Step 5: Solve for x
   x = 10,423,593,216/49,410
6. Step 6: Final answer
   x = 210,961.21