Finding the Third Proportional to 37,585 and 80,174

Step by Step Solution

1. Step 1: Write the proportion equation
   37,585 : 80,174 = 80,174 : x
2. Step 2: Convert to fraction form
   37,585/80,174 = 80,174/x
3. Step 3: Cross multiply
   37,585x = 80,174 × 80,174
4. Step 4: Simplify right side
   37,585x = 6,427,870,276
5. Step 5: Solve for x
   x = 6,427,870,276/37,585
6. Step 6: Final answer
   x = 171,022.22