Finding the Third Proportional to 14,626 and 32,636

Step by Step Solution

1. Step 1: Write the proportion equation
   14,626 : 32,636 = 32,636 : x
2. Step 2: Convert to fraction form
   14,626/32,636 = 32,636/x
3. Step 3: Cross multiply
   14,626x = 32,636 × 32,636
4. Step 4: Simplify right side
   14,626x = 1,065,108,496
5. Step 5: Solve for x
   x = 1,065,108,496/14,626
6. Step 6: Final answer
   x = 72,822.95