Finding the Third Proportional to 29,636 and 64,780

Step by Step Solution

1. Step 1: Write the proportion equation
   29,636 : 64,780 = 64,780 : x
2. Step 2: Convert to fraction form
   29,636/64,780 = 64,780/x
3. Step 3: Cross multiply
   29,636x = 64,780 × 64,780
4. Step 4: Simplify right side
   29,636x = 4,196,448,400
5. Step 5: Solve for x
   x = 4,196,448,400/29,636
6. Step 6: Final answer
   x = 141,599.69