Finding the Third Proportional to 42,710 and 93,734

Step by Step Solution

1. Step 1: Write the proportion equation
   42,710 : 93,734 = 93,734 : x
2. Step 2: Convert to fraction form
   42,710/93,734 = 93,734/x
3. Step 3: Cross multiply
   42,710x = 93,734 × 93,734
4. Step 4: Simplify right side
   42,710x = 8,786,062,756
5. Step 5: Solve for x
   x = 8,786,062,756/42,710
6. Step 6: Final answer
   x = 205,714.42