Finding the Third Proportional to 37,516 and 80,055

Step by Step Solution

1. Step 1: Write the proportion equation
   37,516 : 80,055 = 80,055 : x
2. Step 2: Convert to fraction form
   37,516/80,055 = 80,055/x
3. Step 3: Cross multiply
   37,516x = 80,055 × 80,055
4. Step 4: Simplify right side
   37,516x = 6,408,803,025
5. Step 5: Solve for x
   x = 6,408,803,025/37,516
6. Step 6: Final answer
   x = 170,828.53