Finding the Third Proportional to 21,841 and 45,409

Step by Step Solution

1. Step 1: Write the proportion equation
   21,841 : 45,409 = 45,409 : x
2. Step 2: Convert to fraction form
   21,841/45,409 = 45,409/x
3. Step 3: Cross multiply
   21,841x = 45,409 × 45,409
4. Step 4: Simplify right side
   21,841x = 2,061,977,281
5. Step 5: Solve for x
   x = 2,061,977,281/21,841
6. Step 6: Final answer
   x = 94,408.56