Finding the Third Proportional to 31,182 and 68,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,182 : 68,401.50 = 68,401.50 : x
2. Step 2: Convert to fraction form
   31,182/68,401.50 = 68,401.50/x
3. Step 3: Cross multiply
   31,182x = 68,401.50 × 68,401.50
4. Step 4: Simplify right side
   31,182x = 4,678,765,202.25
5. Step 5: Solve for x
   x = 4,678,765,202.25/31,182
6. Step 6: Final answer
   x = 150,046.99