Finding the Third Proportional to 37,578 and 57,780

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578 : 57,780 = 57,780 : x
2. Step 2: Convert to fraction form
   37,578/57,780 = 57,780/x
3. Step 3: Cross multiply
   37,578x = 57,780 × 57,780
4. Step 4: Simplify right side
   37,578x = 3,338,528,400
5. Step 5: Solve for x
   x = 3,338,528,400/37,578
6. Step 6: Final answer
   x = 88,842.63