Finding the Third Proportional to 37,582 and 57,786

Step by Step Solution

1. Step 1: Write the proportion equation
   37,582 : 57,786 = 57,786 : x
2. Step 2: Convert to fraction form
   37,582/57,786 = 57,786/x
3. Step 3: Cross multiply
   37,582x = 57,786 × 57,786
4. Step 4: Simplify right side
   37,582x = 3,339,221,796
5. Step 5: Solve for x
   x = 3,339,221,796/37,582
6. Step 6: Final answer
   x = 88,851.63