Finding the Third Proportional to 14,636 and 32,435

Step by Step Solution

1. Step 1: Write the proportion equation
   14,636 : 32,435 = 32,435 : x
2. Step 2: Convert to fraction form
   14,636/32,435 = 32,435/x
3. Step 3: Cross multiply
   14,636x = 32,435 × 32,435
4. Step 4: Simplify right side
   14,636x = 1,052,029,225
5. Step 5: Solve for x
   x = 1,052,029,225/14,636
6. Step 6: Final answer
   x = 71,879.56