Finding the Third Proportional to 20,890 and 45,914

Step by Step Solution

1. Step 1: Write the proportion equation
   20,890 : 45,914 = 45,914 : x
2. Step 2: Convert to fraction form
   20,890/45,914 = 45,914/x
3. Step 3: Cross multiply
   20,890x = 45,914 × 45,914
4. Step 4: Simplify right side
   20,890x = 2,108,095,396
5. Step 5: Solve for x
   x = 2,108,095,396/20,890
6. Step 6: Final answer
   x = 100,914.09