Finding the Third Proportional to 14,696 and 32,664

Step by Step Solution

1. Step 1: Write the proportion equation
   14,696 : 32,664 = 32,664 : x
2. Step 2: Convert to fraction form
   14,696/32,664 = 32,664/x
3. Step 3: Cross multiply
   14,696x = 32,664 × 32,664
4. Step 4: Simplify right side
   14,696x = 1,066,936,896
5. Step 5: Solve for x
   x = 1,066,936,896/14,696
6. Step 6: Final answer
   x = 72,600.50