Finding the Third Proportional to 20,788 and 45,466

Step by Step Solution

1. Step 1: Write the proportion equation
   20,788 : 45,466 = 45,466 : x
2. Step 2: Convert to fraction form
   20,788/45,466 = 45,466/x
3. Step 3: Cross multiply
   20,788x = 45,466 × 45,466
4. Step 4: Simplify right side
   20,788x = 2,067,157,156
5. Step 5: Solve for x
   x = 2,067,157,156/20,788
6. Step 6: Final answer
   x = 99,439.92