Finding the Third Proportional to 34,825 and 62,738

Step by Step Solution

1. Step 1: Write the proportion equation
   34,825 : 62,738 = 62,738 : x
2. Step 2: Convert to fraction form
   34,825/62,738 = 62,738/x
3. Step 3: Cross multiply
   34,825x = 62,738 × 62,738
4. Step 4: Simplify right side
   34,825x = 3,936,056,644
5. Step 5: Solve for x
   x = 3,936,056,644/34,825
6. Step 6: Final answer
   x = 113,023.88