Finding the Third Proportional to 31,570 and 49,015

Step by Step Solution

1. Step 1: Write the proportion equation
   31,570 : 49,015 = 49,015 : x
2. Step 2: Convert to fraction form
   31,570/49,015 = 49,015/x
3. Step 3: Cross multiply
   31,570x = 49,015 × 49,015
4. Step 4: Simplify right side
   31,570x = 2,402,470,225
5. Step 5: Solve for x
   x = 2,402,470,225/31,570
6. Step 6: Final answer
   x = 76,099.79