Finding the Third Proportional to 37,778 and 55,515

Step by Step Solution

1. Step 1: Write the proportion equation
   37,778 : 55,515 = 55,515 : x
2. Step 2: Convert to fraction form
   37,778/55,515 = 55,515/x
3. Step 3: Cross multiply
   37,778x = 55,515 × 55,515
4. Step 4: Simplify right side
   37,778x = 3,081,915,225
5. Step 5: Solve for x
   x = 3,081,915,225/37,778
6. Step 6: Final answer
   x = 81,579.63