Finding the Third Proportional to 36,176 and 56,009

Step by Step Solution

1. Step 1: Write the proportion equation
   36,176 : 56,009 = 56,009 : x
2. Step 2: Convert to fraction form
   36,176/56,009 = 56,009/x
3. Step 3: Cross multiply
   36,176x = 56,009 × 56,009
4. Step 4: Simplify right side
   36,176x = 3,137,008,081
5. Step 5: Solve for x
   x = 3,137,008,081/36,176
6. Step 6: Final answer
   x = 86,715.17