Finding the Third Proportional to 35,736 and 51,036

Step by Step Solution

1. Step 1: Write the proportion equation
   35,736 : 51,036 = 51,036 : x
2. Step 2: Convert to fraction form
   35,736/51,036 = 51,036/x
3. Step 3: Cross multiply
   35,736x = 51,036 × 51,036
4. Step 4: Simplify right side
   35,736x = 2,604,673,296
5. Step 5: Solve for x
   x = 2,604,673,296/35,736
6. Step 6: Final answer
   x = 72,886.54