Finding the Third Proportional to 21,166 and 45,896

Step by Step Solution

1. Step 1: Write the proportion equation
   21,166 : 45,896 = 45,896 : x
2. Step 2: Convert to fraction form
   21,166/45,896 = 45,896/x
3. Step 3: Cross multiply
   21,166x = 45,896 × 45,896
4. Step 4: Simplify right side
   21,166x = 2,106,442,816
5. Step 5: Solve for x
   x = 2,106,442,816/21,166
6. Step 6: Final answer
   x = 99,520.12