Finding the Third Proportional to 20,876 and 45,774

Step by Step Solution

1. Step 1: Write the proportion equation
   20,876 : 45,774 = 45,774 : x
2. Step 2: Convert to fraction form
   20,876/45,774 = 45,774/x
3. Step 3: Cross multiply
   20,876x = 45,774 × 45,774
4. Step 4: Simplify right side
   20,876x = 2,095,259,076
5. Step 5: Solve for x
   x = 2,095,259,076/20,876
6. Step 6: Final answer
   x = 100,366.88