Finding the Third Proportional to 34,676 and 52,258

Step by Step Solution

1. Step 1: Write the proportion equation
   34,676 : 52,258 = 52,258 : x
2. Step 2: Convert to fraction form
   34,676/52,258 = 52,258/x
3. Step 3: Cross multiply
   34,676x = 52,258 × 52,258
4. Step 4: Simplify right side
   34,676x = 2,730,898,564
5. Step 5: Solve for x
   x = 2,730,898,564/34,676
6. Step 6: Final answer
   x = 78,754.72