Finding the Third Proportional to 23,824 and 32,699

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 32,699 = 32,699 : x
2. Step 2: Convert to fraction form
   23,824/32,699 = 32,699/x
3. Step 3: Cross multiply
   23,824x = 32,699 × 32,699
4. Step 4: Simplify right side
   23,824x = 1,069,224,601
5. Step 5: Solve for x
   x = 1,069,224,601/23,824
6. Step 6: Final answer
   x = 44,880.15