Finding the Third Proportional to 37,958 and 83,174

Step by Step Solution

1. Step 1: Write the proportion equation
   37,958 : 83,174 = 83,174 : x
2. Step 2: Convert to fraction form
   37,958/83,174 = 83,174/x
3. Step 3: Cross multiply
   37,958x = 83,174 × 83,174
4. Step 4: Simplify right side
   37,958x = 6,917,914,276
5. Step 5: Solve for x
   x = 6,917,914,276/37,958
6. Step 6: Final answer
   x = 182,251.81