Finding the Third Proportional to 14,880 and 32,736

Step by Step Solution

1. Step 1: Write the proportion equation
   14,880 : 32,736 = 32,736 : x
2. Step 2: Convert to fraction form
   14,880/32,736 = 32,736/x
3. Step 3: Cross multiply
   14,880x = 32,736 × 32,736
4. Step 4: Simplify right side
   14,880x = 1,071,645,696
5. Step 5: Solve for x
   x = 1,071,645,696/14,880
6. Step 6: Final answer
   x = 72,019.20