Finding the Third Proportional to 34,066 and 52,870

Step by Step Solution

1. Step 1: Write the proportion equation
   34,066 : 52,870 = 52,870 : x
2. Step 2: Convert to fraction form
   34,066/52,870 = 52,870/x
3. Step 3: Cross multiply
   34,066x = 52,870 × 52,870
4. Step 4: Simplify right side
   34,066x = 2,795,236,900
5. Step 5: Solve for x
   x = 2,795,236,900/34,066
6. Step 6: Final answer
   x = 82,053.57