Finding the Third Proportional to 23,004 and 32,384

Step by Step Solution

1. Step 1: Write the proportion equation
   23,004 : 32,384 = 32,384 : x
2. Step 2: Convert to fraction form
   23,004/32,384 = 32,384/x
3. Step 3: Cross multiply
   23,004x = 32,384 × 32,384
4. Step 4: Simplify right side
   23,004x = 1,048,723,456
5. Step 5: Solve for x
   x = 1,048,723,456/23,004
6. Step 6: Final answer
   x = 45,588.74