Finding the Third Proportional to 21,546 and 46,492

Step by Step Solution

1. Step 1: Write the proportion equation
   21,546 : 46,492 = 46,492 : x
2. Step 2: Convert to fraction form
   21,546/46,492 = 46,492/x
3. Step 3: Cross multiply
   21,546x = 46,492 × 46,492
4. Step 4: Simplify right side
   21,546x = 2,161,506,064
5. Step 5: Solve for x
   x = 2,161,506,064/21,546
6. Step 6: Final answer
   x = 100,320.53