Finding the Third Proportional to 36,624 and 55,638

Step by Step Solution

1. Step 1: Write the proportion equation
   36,624 : 55,638 = 55,638 : x
2. Step 2: Convert to fraction form
   36,624/55,638 = 55,638/x
3. Step 3: Cross multiply
   36,624x = 55,638 × 55,638
4. Step 4: Simplify right side
   36,624x = 3,095,587,044
5. Step 5: Solve for x
   x = 3,095,587,044/36,624
6. Step 6: Final answer
   x = 84,523.46