Finding the Third Proportional to 31,070 and 49,420

Step by Step Solution

1. Step 1: Write the proportion equation
   31,070 : 49,420 = 49,420 : x
2. Step 2: Convert to fraction form
   31,070/49,420 = 49,420/x
3. Step 3: Cross multiply
   31,070x = 49,420 × 49,420
4. Step 4: Simplify right side
   31,070x = 2,442,336,400
5. Step 5: Solve for x
   x = 2,442,336,400/31,070
6. Step 6: Final answer
   x = 78,607.54