Finding the Third Proportional to 35,648 and 51,636

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 51,636 = 51,636 : x
2. Step 2: Convert to fraction form
   35,648/51,636 = 51,636/x
3. Step 3: Cross multiply
   35,648x = 51,636 × 51,636
4. Step 4: Simplify right side
   35,648x = 2,666,276,496
5. Step 5: Solve for x
   x = 2,666,276,496/35,648
6. Step 6: Final answer
   x = 74,794.56