Finding the Third Proportional to 21,456 and 45,774

Step by Step Solution

1. Step 1: Write the proportion equation
   21,456 : 45,774 = 45,774 : x
2. Step 2: Convert to fraction form
   21,456/45,774 = 45,774/x
3. Step 3: Cross multiply
   21,456x = 45,774 × 45,774
4. Step 4: Simplify right side
   21,456x = 2,095,259,076
5. Step 5: Solve for x
   x = 2,095,259,076/21,456
6. Step 6: Final answer
   x = 97,653.76