Finding the Third Proportional to 37,701 and 56,556

Step by Step Solution

1. Step 1: Write the proportion equation
   37,701 : 56,556 = 56,556 : x
2. Step 2: Convert to fraction form
   37,701/56,556 = 56,556/x
3. Step 3: Cross multiply
   37,701x = 56,556 × 56,556
4. Step 4: Simplify right side
   37,701x = 3,198,581,136
5. Step 5: Solve for x
   x = 3,198,581,136/37,701
6. Step 6: Final answer
   x = 84,840.75