Finding the Third Proportional to 36,636 and 70,354

Step by Step Solution

1. Step 1: Write the proportion equation
   36,636 : 70,354 = 70,354 : x
2. Step 2: Convert to fraction form
   36,636/70,354 = 70,354/x
3. Step 3: Cross multiply
   36,636x = 70,354 × 70,354
4. Step 4: Simplify right side
   36,636x = 4,949,685,316
5. Step 5: Solve for x
   x = 4,949,685,316/36,636
6. Step 6: Final answer
   x = 135,104.41