Finding the Third Proportional to 35,824 and 55,128

Step by Step Solution

1. Step 1: Write the proportion equation
   35,824 : 55,128 = 55,128 : x
2. Step 2: Convert to fraction form
   35,824/55,128 = 55,128/x
3. Step 3: Cross multiply
   35,824x = 55,128 × 55,128
4. Step 4: Simplify right side
   35,824x = 3,039,096,384
5. Step 5: Solve for x
   x = 3,039,096,384/35,824
6. Step 6: Final answer
   x = 84,834.09