Finding the Third Proportional to 32,604 and 35,628

Step by Step Solution

1. Step 1: Write the proportion equation
   32,604 : 35,628 = 35,628 : x
2. Step 2: Convert to fraction form
   32,604/35,628 = 35,628/x
3. Step 3: Cross multiply
   32,604x = 35,628 × 35,628
4. Step 4: Simplify right side
   32,604x = 1,269,354,384
5. Step 5: Solve for x
   x = 1,269,354,384/32,604
6. Step 6: Final answer
   x = 38,932.47