Finding the Third Proportional to 37,820 and 82,272

Step by Step Solution

1. Step 1: Write the proportion equation
   37,820 : 82,272 = 82,272 : x
2. Step 2: Convert to fraction form
   37,820/82,272 = 82,272/x
3. Step 3: Cross multiply
   37,820x = 82,272 × 82,272
4. Step 4: Simplify right side
   37,820x = 6,768,681,984
5. Step 5: Solve for x
   x = 6,768,681,984/37,820
6. Step 6: Final answer
   x = 178,970.97