Finding the Third Proportional to 21,281 and 46,380

Step by Step Solution

1. Step 1: Write the proportion equation
   21,281 : 46,380 = 46,380 : x
2. Step 2: Convert to fraction form
   21,281/46,380 = 46,380/x
3. Step 3: Cross multiply
   21,281x = 46,380 × 46,380
4. Step 4: Simplify right side
   21,281x = 2,151,104,400
5. Step 5: Solve for x
   x = 2,151,104,400/21,281
6. Step 6: Final answer
   x = 101,080.98