Finding the Third Proportional to 21,493 and 45,596

Step by Step Solution

1. Step 1: Write the proportion equation
   21,493 : 45,596 = 45,596 : x
2. Step 2: Convert to fraction form
   21,493/45,596 = 45,596/x
3. Step 3: Cross multiply
   21,493x = 45,596 × 45,596
4. Step 4: Simplify right side
   21,493x = 2,078,995,216
5. Step 5: Solve for x
   x = 2,078,995,216/21,493
6. Step 6: Final answer
   x = 96,728.95