Finding the Third Proportional to 31,316 and 68,665

Step by Step Solution

1. Step 1: Write the proportion equation
   31,316 : 68,665 = 68,665 : x
2. Step 2: Convert to fraction form
   31,316/68,665 = 68,665/x
3. Step 3: Cross multiply
   31,316x = 68,665 × 68,665
4. Step 4: Simplify right side
   31,316x = 4,714,882,225
5. Step 5: Solve for x
   x = 4,714,882,225/31,316
6. Step 6: Final answer
   x = 150,558.25