Finding the Third Proportional to 37,980 and 83,272

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 83,272 = 83,272 : x
2. Step 2: Convert to fraction form
   37,980/83,272 = 83,272/x
3. Step 3: Cross multiply
   37,980x = 83,272 × 83,272
4. Step 4: Simplify right side
   37,980x = 6,934,225,984
5. Step 5: Solve for x
   x = 6,934,225,984/37,980
6. Step 6: Final answer
   x = 182,575.72