Finding the Third Proportional to 24,306 and 32,004

Step by Step Solution

1. Step 1: Write the proportion equation
   24,306 : 32,004 = 32,004 : x
2. Step 2: Convert to fraction form
   24,306/32,004 = 32,004/x
3. Step 3: Cross multiply
   24,306x = 32,004 × 32,004
4. Step 4: Simplify right side
   24,306x = 1,024,256,016
5. Step 5: Solve for x
   x = 1,024,256,016/24,306
6. Step 6: Final answer
   x = 42,140.05