Finding the Third Proportional to 36,026 and 52,870

Step by Step Solution

1. Step 1: Write the proportion equation
   36,026 : 52,870 = 52,870 : x
2. Step 2: Convert to fraction form
   36,026/52,870 = 52,870/x
3. Step 3: Cross multiply
   36,026x = 52,870 × 52,870
4. Step 4: Simplify right side
   36,026x = 2,795,236,900
5. Step 5: Solve for x
   x = 2,795,236,900/36,026
6. Step 6: Final answer
   x = 77,589.43