Finding the Third Proportional to 49,096 and 75,636

Step by Step Solution

1. Step 1: Write the proportion equation
   49,096 : 75,636 = 75,636 : x
2. Step 2: Convert to fraction form
   49,096/75,636 = 75,636/x
3. Step 3: Cross multiply
   49,096x = 75,636 × 75,636
4. Step 4: Simplify right side
   49,096x = 5,720,804,496
5. Step 5: Solve for x
   x = 5,720,804,496/49,096
6. Step 6: Final answer
   x = 116,522.82