Finding the Third Proportional to 37,956 and 83,170

Step by Step Solution

1. Step 1: Write the proportion equation
   37,956 : 83,170 = 83,170 : x
2. Step 2: Convert to fraction form
   37,956/83,170 = 83,170/x
3. Step 3: Cross multiply
   37,956x = 83,170 × 83,170
4. Step 4: Simplify right side
   37,956x = 6,917,248,900
5. Step 5: Solve for x
   x = 6,917,248,900/37,956
6. Step 6: Final answer
   x = 182,243.89