Finding the Third Proportional to 21,857 and 45,269

Step by Step Solution

1. Step 1: Write the proportion equation
   21,857 : 45,269 = 45,269 : x
2. Step 2: Convert to fraction form
   21,857/45,269 = 45,269/x
3. Step 3: Cross multiply
   21,857x = 45,269 × 45,269
4. Step 4: Simplify right side
   21,857x = 2,049,282,361
5. Step 5: Solve for x
   x = 2,049,282,361/21,857
6. Step 6: Final answer
   x = 93,758.63