Finding the Third Proportional to 37,401 and 82,086

Step by Step Solution

1. Step 1: Write the proportion equation
   37,401 : 82,086 = 82,086 : x
2. Step 2: Convert to fraction form
   37,401/82,086 = 82,086/x
3. Step 3: Cross multiply
   37,401x = 82,086 × 82,086
4. Step 4: Simplify right side
   37,401x = 6,738,111,396
5. Step 5: Solve for x
   x = 6,738,111,396/37,401
6. Step 6: Final answer
   x = 180,158.59