Finding the Third Proportional to 37,186 and 80,662

Step by Step Solution

1. Step 1: Write the proportion equation
   37,186 : 80,662 = 80,662 : x
2. Step 2: Convert to fraction form
   37,186/80,662 = 80,662/x
3. Step 3: Cross multiply
   37,186x = 80,662 × 80,662
4. Step 4: Simplify right side
   37,186x = 6,506,358,244
5. Step 5: Solve for x
   x = 6,506,358,244/37,186
6. Step 6: Final answer
   x = 174,967.95