Finding the Third Proportional to 31,576 and 49,112

Step by Step Solution

1. Step 1: Write the proportion equation
   31,576 : 49,112 = 49,112 : x
2. Step 2: Convert to fraction form
   31,576/49,112 = 49,112/x
3. Step 3: Cross multiply
   31,576x = 49,112 × 49,112
4. Step 4: Simplify right side
   31,576x = 2,411,988,544
5. Step 5: Solve for x
   x = 2,411,988,544/31,576
6. Step 6: Final answer
   x = 76,386.77