Finding the Third Proportional to 37,346 and 82,052

Step by Step Solution

1. Step 1: Write the proportion equation
   37,346 : 82,052 = 82,052 : x
2. Step 2: Convert to fraction form
   37,346/82,052 = 82,052/x
3. Step 3: Cross multiply
   37,346x = 82,052 × 82,052
4. Step 4: Simplify right side
   37,346x = 6,732,530,704
5. Step 5: Solve for x
   x = 6,732,530,704/37,346
6. Step 6: Final answer
   x = 180,274.48