Finding the Third Proportional to 23,824 and 32,698

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 32,698 = 32,698 : x
2. Step 2: Convert to fraction form
   23,824/32,698 = 32,698/x
3. Step 3: Cross multiply
   23,824x = 32,698 × 32,698
4. Step 4: Simplify right side
   23,824x = 1,069,159,204
5. Step 5: Solve for x
   x = 1,069,159,204/23,824
6. Step 6: Final answer
   x = 44,877.40