Finding the Third Proportional to 34,874 and 52,390

Step by Step Solution

1. Step 1: Write the proportion equation
   34,874 : 52,390 = 52,390 : x
2. Step 2: Convert to fraction form
   34,874/52,390 = 52,390/x
3. Step 3: Cross multiply
   34,874x = 52,390 × 52,390
4. Step 4: Simplify right side
   34,874x = 2,744,712,100
5. Step 5: Solve for x
   x = 2,744,712,100/34,874
6. Step 6: Final answer
   x = 78,703.68