Finding the Third Proportional to 31,709 and 49,070

Step by Step Solution

1. Step 1: Write the proportion equation
   31,709 : 49,070 = 49,070 : x
2. Step 2: Convert to fraction form
   31,709/49,070 = 49,070/x
3. Step 3: Cross multiply
   31,709x = 49,070 × 49,070
4. Step 4: Simplify right side
   31,709x = 2,407,864,900
5. Step 5: Solve for x
   x = 2,407,864,900/31,709
6. Step 6: Final answer
   x = 75,936.32