Finding the Third Proportional to 17,604 and 38,664

Step by Step Solution

1. Step 1: Write the proportion equation
   17,604 : 38,664 = 38,664 : x
2. Step 2: Convert to fraction form
   17,604/38,664 = 38,664/x
3. Step 3: Cross multiply
   17,604x = 38,664 × 38,664
4. Step 4: Simplify right side
   17,604x = 1,494,904,896
5. Step 5: Solve for x
   x = 1,494,904,896/17,604
6. Step 6: Final answer
   x = 84,918.48