Finding the Third Proportional to 31,010 and 49,507

Step by Step Solution

1. Step 1: Write the proportion equation
   31,010 : 49,507 = 49,507 : x
2. Step 2: Convert to fraction form
   31,010/49,507 = 49,507/x
3. Step 3: Cross multiply
   31,010x = 49,507 × 49,507
4. Step 4: Simplify right side
   31,010x = 2,450,943,049
5. Step 5: Solve for x
   x = 2,450,943,049/31,010
6. Step 6: Final answer
   x = 79,037.18