Finding the Third Proportional to 25,620 and 32,736

Step by Step Solution

1. Step 1: Write the proportion equation
   25,620 : 32,736 = 32,736 : x
2. Step 2: Convert to fraction form
   25,620/32,736 = 32,736/x
3. Step 3: Cross multiply
   25,620x = 32,736 × 32,736
4. Step 4: Simplify right side
   25,620x = 1,071,645,696
5. Step 5: Solve for x
   x = 1,071,645,696/25,620
6. Step 6: Final answer
   x = 41,828.48