Finding the Third Proportional to 37,372 and 82,025

Step by Step Solution

1. Step 1: Write the proportion equation
   37,372 : 82,025 = 82,025 : x
2. Step 2: Convert to fraction form
   37,372/82,025 = 82,025/x
3. Step 3: Cross multiply
   37,372x = 82,025 × 82,025
4. Step 4: Simplify right side
   37,372x = 6,728,100,625
5. Step 5: Solve for x
   x = 6,728,100,625/37,372
6. Step 6: Final answer
   x = 180,030.52