Finding the Third Proportional to 21,185 and 45,653

Step by Step Solution

1. Step 1: Write the proportion equation
   21,185 : 45,653 = 45,653 : x
2. Step 2: Convert to fraction form
   21,185/45,653 = 45,653/x
3. Step 3: Cross multiply
   21,185x = 45,653 × 45,653
4. Step 4: Simplify right side
   21,185x = 2,084,196,409
5. Step 5: Solve for x
   x = 2,084,196,409/21,185
6. Step 6: Final answer
   x = 98,380.76