Finding the Third Proportional to 21,543 and 45,642

Step by Step Solution

1. Step 1: Write the proportion equation
   21,543 : 45,642 = 45,642 : x
2. Step 2: Convert to fraction form
   21,543/45,642 = 45,642/x
3. Step 3: Cross multiply
   21,543x = 45,642 × 45,642
4. Step 4: Simplify right side
   21,543x = 2,083,192,164
5. Step 5: Solve for x
   x = 2,083,192,164/21,543
6. Step 6: Final answer
   x = 96,699.26