Finding the Third Proportional to 23,824 and 45,488

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 45,488 = 45,488 : x
2. Step 2: Convert to fraction form
   23,824/45,488 = 45,488/x
3. Step 3: Cross multiply
   23,824x = 45,488 × 45,488
4. Step 4: Simplify right side
   23,824x = 2,069,158,144
5. Step 5: Solve for x
   x = 2,069,158,144/23,824
6. Step 6: Final answer
   x = 86,851.84