Finding the Third Proportional to 31,245 and 67,821

Step by Step Solution

1. Step 1: Write the proportion equation
   31,245 : 67,821 = 67,821 : x
2. Step 2: Convert to fraction form
   31,245/67,821 = 67,821/x
3. Step 3: Cross multiply
   31,245x = 67,821 × 67,821
4. Step 4: Simplify right side
   31,245x = 4,599,688,041
5. Step 5: Solve for x
   x = 4,599,688,041/31,245
6. Step 6: Final answer
   x = 147,213.57