Finding the Third Proportional to 20,606 and 45,898

Step by Step Solution

1. Step 1: Write the proportion equation
   20,606 : 45,898 = 45,898 : x
2. Step 2: Convert to fraction form
   20,606/45,898 = 45,898/x
3. Step 3: Cross multiply
   20,606x = 45,898 × 45,898
4. Step 4: Simplify right side
   20,606x = 2,106,626,404
5. Step 5: Solve for x
   x = 2,106,626,404/20,606
6. Step 6: Final answer
   x = 102,233.64