Finding the Third Proportional to 34,659 and 49,564

Step by Step Solution

1. Step 1: Write the proportion equation
   34,659 : 49,564 = 49,564 : x
2. Step 2: Convert to fraction form
   34,659/49,564 = 49,564/x
3. Step 3: Cross multiply
   34,659x = 49,564 × 49,564
4. Step 4: Simplify right side
   34,659x = 2,456,590,096
5. Step 5: Solve for x
   x = 2,456,590,096/34,659
6. Step 6: Final answer
   x = 70,878.85