Finding the Third Proportional to 37,556 and 56,216

Step by Step Solution

1. Step 1: Write the proportion equation
   37,556 : 56,216 = 56,216 : x
2. Step 2: Convert to fraction form
   37,556/56,216 = 56,216/x
3. Step 3: Cross multiply
   37,556x = 56,216 × 56,216
4. Step 4: Simplify right side
   37,556x = 3,160,238,656
5. Step 5: Solve for x
   x = 3,160,238,656/37,556
6. Step 6: Final answer
   x = 84,147.37