Finding the Third Proportional to 37,508 and 80,846

Step by Step Solution

1. Step 1: Write the proportion equation
   37,508 : 80,846 = 80,846 : x
2. Step 2: Convert to fraction form
   37,508/80,846 = 80,846/x
3. Step 3: Cross multiply
   37,508x = 80,846 × 80,846
4. Step 4: Simplify right side
   37,508x = 6,536,075,716
5. Step 5: Solve for x
   x = 6,536,075,716/37,508
6. Step 6: Final answer
   x = 174,258.18