Finding the Third Proportional to 25,632 and 32,752

Step by Step Solution

1. Step 1: Write the proportion equation
   25,632 : 32,752 = 32,752 : x
2. Step 2: Convert to fraction form
   25,632/32,752 = 32,752/x
3. Step 3: Cross multiply
   25,632x = 32,752 × 32,752
4. Step 4: Simplify right side
   25,632x = 1,072,693,504
5. Step 5: Solve for x
   x = 1,072,693,504/25,632
6. Step 6: Final answer
   x = 41,849.78