Finding the Third Proportional to 37,641 and 57,636

Step by Step Solution

1. Step 1: Write the proportion equation
   37,641 : 57,636 = 57,636 : x
2. Step 2: Convert to fraction form
   37,641/57,636 = 57,636/x
3. Step 3: Cross multiply
   37,641x = 57,636 × 57,636
4. Step 4: Simplify right side
   37,641x = 3,321,908,496
5. Step 5: Solve for x
   x = 3,321,908,496/37,641
6. Step 6: Final answer
   x = 88,252.40