Finding the Third Proportional to 31,186 and 68,410

Step by Step Solution

1. Step 1: Write the proportion equation
   31,186 : 68,410 = 68,410 : x
2. Step 2: Convert to fraction form
   31,186/68,410 = 68,410/x
3. Step 3: Cross multiply
   31,186x = 68,410 × 68,410
4. Step 4: Simplify right side
   31,186x = 4,679,928,100
5. Step 5: Solve for x
   x = 4,679,928,100/31,186
6. Step 6: Final answer
   x = 150,065.03