Finding the Third Proportional to 21,588 and 46,488

Step by Step Solution

1. Step 1: Write the proportion equation
   21,588 : 46,488 = 46,488 : x
2. Step 2: Convert to fraction form
   21,588/46,488 = 46,488/x
3. Step 3: Cross multiply
   21,588x = 46,488 × 46,488
4. Step 4: Simplify right side
   21,588x = 2,161,134,144
5. Step 5: Solve for x
   x = 2,161,134,144/21,588
6. Step 6: Final answer
   x = 100,108.12