Finding the Third Proportional to 23,668 and 32,046

Step by Step Solution

1. Step 1: Write the proportion equation
   23,668 : 32,046 = 32,046 : x
2. Step 2: Convert to fraction form
   23,668/32,046 = 32,046/x
3. Step 3: Cross multiply
   23,668x = 32,046 × 32,046
4. Step 4: Simplify right side
   23,668x = 1,026,946,116
5. Step 5: Solve for x
   x = 1,026,946,116/23,668
6. Step 6: Final answer
   x = 43,389.64