Finding the Third Proportional to 20,906 and 45,496

Step by Step Solution

1. Step 1: Write the proportion equation
   20,906 : 45,496 = 45,496 : x
2. Step 2: Convert to fraction form
   20,906/45,496 = 45,496/x
3. Step 3: Cross multiply
   20,906x = 45,496 × 45,496
4. Step 4: Simplify right side
   20,906x = 2,069,886,016
5. Step 5: Solve for x
   x = 2,069,886,016/20,906
6. Step 6: Final answer
   x = 99,009.18