Finding the Third Proportional to 35,632 and 53,256

Step by Step Solution

1. Step 1: Write the proportion equation
   35,632 : 53,256 = 53,256 : x
2. Step 2: Convert to fraction form
   35,632/53,256 = 53,256/x
3. Step 3: Cross multiply
   35,632x = 53,256 × 53,256
4. Step 4: Simplify right side
   35,632x = 2,836,201,536
5. Step 5: Solve for x
   x = 2,836,201,536/35,632
6. Step 6: Final answer
   x = 79,597.03