Finding the Third Proportional to 38,424 and 57,636

Step by Step Solution

1. Step 1: Write the proportion equation
   38,424 : 57,636 = 57,636 : x
2. Step 2: Convert to fraction form
   38,424/57,636 = 57,636/x
3. Step 3: Cross multiply
   38,424x = 57,636 × 57,636
4. Step 4: Simplify right side
   38,424x = 3,321,908,496
5. Step 5: Solve for x
   x = 3,321,908,496/38,424
6. Step 6: Final answer
   x = 86,454