Finding the Third Proportional to 37,346 and 82,054

Step by Step Solution

1. Step 1: Write the proportion equation
   37,346 : 82,054 = 82,054 : x
2. Step 2: Convert to fraction form
   37,346/82,054 = 82,054/x
3. Step 3: Cross multiply
   37,346x = 82,054 × 82,054
4. Step 4: Simplify right side
   37,346x = 6,732,858,916
5. Step 5: Solve for x
   x = 6,732,858,916/37,346
6. Step 6: Final answer
   x = 180,283.27