Finding the Third Proportional to 31,876 and 45,846

Step by Step Solution

1. Step 1: Write the proportion equation
   31,876 : 45,846 = 45,846 : x
2. Step 2: Convert to fraction form
   31,876/45,846 = 45,846/x
3. Step 3: Cross multiply
   31,876x = 45,846 × 45,846
4. Step 4: Simplify right side
   31,876x = 2,101,855,716
5. Step 5: Solve for x
   x = 2,101,855,716/31,876
6. Step 6: Final answer
   x = 65,938.50