Finding the Third Proportional to 32,082 and 78,018

Step by Step Solution

1. Step 1: Write the proportion equation
   32,082 : 78,018 = 78,018 : x
2. Step 2: Convert to fraction form
   32,082/78,018 = 78,018/x
3. Step 3: Cross multiply
   32,082x = 78,018 × 78,018
4. Step 4: Simplify right side
   32,082x = 6,086,808,324
5. Step 5: Solve for x
   x = 6,086,808,324/32,082
6. Step 6: Final answer
   x = 189,726.59