Finding the Third Proportional to 21,522 and 46,442

Step by Step Solution

1. Step 1: Write the proportion equation
   21,522 : 46,442 = 46,442 : x
2. Step 2: Convert to fraction form
   21,522/46,442 = 46,442/x
3. Step 3: Cross multiply
   21,522x = 46,442 × 46,442
4. Step 4: Simplify right side
   21,522x = 2,156,859,364
5. Step 5: Solve for x
   x = 2,156,859,364/21,522
6. Step 6: Final answer
   x = 100,216.49