Finding the Third Proportional to 31,874 and 45,523

Step by Step Solution

1. Step 1: Write the proportion equation
   31,874 : 45,523 = 45,523 : x
2. Step 2: Convert to fraction form
   31,874/45,523 = 45,523/x
3. Step 3: Cross multiply
   31,874x = 45,523 × 45,523
4. Step 4: Simplify right side
   31,874x = 2,072,343,529
5. Step 5: Solve for x
   x = 2,072,343,529/31,874
6. Step 6: Final answer
   x = 65,016.74