Finding the Third Proportional to 40,026 and 84,665

Step by Step Solution

1. Step 1: Write the proportion equation
   40,026 : 84,665 = 84,665 : x
2. Step 2: Convert to fraction form
   40,026/84,665 = 84,665/x
3. Step 3: Cross multiply
   40,026x = 84,665 × 84,665
4. Step 4: Simplify right side
   40,026x = 7,168,162,225
5. Step 5: Solve for x
   x = 7,168,162,225/40,026
6. Step 6: Final answer
   x = 179,087.65