Finding the Third Proportional to 31,271 and 45,865

Step by Step Solution

1. Step 1: Write the proportion equation
   31,271 : 45,865 = 45,865 : x
2. Step 2: Convert to fraction form
   31,271/45,865 = 45,865/x
3. Step 3: Cross multiply
   31,271x = 45,865 × 45,865
4. Step 4: Simplify right side
   31,271x = 2,103,598,225
5. Step 5: Solve for x
   x = 2,103,598,225/31,271
6. Step 6: Final answer
   x = 67,269.94