Finding the Third Proportional to 16,446 and 35,664

Step by Step Solution

1. Step 1: Write the proportion equation
   16,446 : 35,664 = 35,664 : x
2. Step 2: Convert to fraction form
   16,446/35,664 = 35,664/x
3. Step 3: Cross multiply
   16,446x = 35,664 × 35,664
4. Step 4: Simplify right side
   16,446x = 1,271,920,896
5. Step 5: Solve for x
   x = 1,271,920,896/16,446
6. Step 6: Final answer
   x = 77,339.23