Finding the Third Proportional to 23,826 and 45,492

Step by Step Solution

1. Step 1: Write the proportion equation
   23,826 : 45,492 = 45,492 : x
2. Step 2: Convert to fraction form
   23,826/45,492 = 45,492/x
3. Step 3: Cross multiply
   23,826x = 45,492 × 45,492
4. Step 4: Simplify right side
   23,826x = 2,069,522,064
5. Step 5: Solve for x
   x = 2,069,522,064/23,826
6. Step 6: Final answer
   x = 86,859.82