Finding the Third Proportional to 31,488 and 49,147

Step by Step Solution

1. Step 1: Write the proportion equation
   31,488 : 49,147 = 49,147 : x
2. Step 2: Convert to fraction form
   31,488/49,147 = 49,147/x
3. Step 3: Cross multiply
   31,488x = 49,147 × 49,147
4. Step 4: Simplify right side
   31,488x = 2,415,427,609
5. Step 5: Solve for x
   x = 2,415,427,609/31,488
6. Step 6: Final answer
   x = 76,709.46