Finding the Third Proportional to 34,714 and 75,710

Step by Step Solution

1. Step 1: Write the proportion equation
   34,714 : 75,710 = 75,710 : x
2. Step 2: Convert to fraction form
   34,714/75,710 = 75,710/x
3. Step 3: Cross multiply
   34,714x = 75,710 × 75,710
4. Step 4: Simplify right side
   34,714x = 5,732,004,100
5. Step 5: Solve for x
   x = 5,732,004,100/34,714
6. Step 6: Final answer
   x = 165,120.82