Finding the Third Proportional to 37,782 and 55,521

Step by Step Solution

1. Step 1: Write the proportion equation
   37,782 : 55,521 = 55,521 : x
2. Step 2: Convert to fraction form
   37,782/55,521 = 55,521/x
3. Step 3: Cross multiply
   37,782x = 55,521 × 55,521
4. Step 4: Simplify right side
   37,782x = 3,082,581,441
5. Step 5: Solve for x
   x = 3,082,581,441/37,782
6. Step 6: Final answer
   x = 81,588.63