Finding the Third Proportional to 37,671 and 55,155

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671 : 55,155 = 55,155 : x
2. Step 2: Convert to fraction form
   37,671/55,155 = 55,155/x
3. Step 3: Cross multiply
   37,671x = 55,155 × 55,155
4. Step 4: Simplify right side
   37,671x = 3,042,074,025
5. Step 5: Solve for x
   x = 3,042,074,025/37,671
6. Step 6: Final answer
   x = 80,753.74