Finding the Third Proportional to 31,618 and 47,507

Step by Step Solution

1. Step 1: Write the proportion equation
   31,618 : 47,507 = 47,507 : x
2. Step 2: Convert to fraction form
   31,618/47,507 = 47,507/x
3. Step 3: Cross multiply
   31,618x = 47,507 × 47,507
4. Step 4: Simplify right side
   31,618x = 2,256,915,049
5. Step 5: Solve for x
   x = 2,256,915,049/31,618
6. Step 6: Final answer
   x = 71,380.70