Finding the Third Proportional to 37,941 and 83,094

Step by Step Solution

1. Step 1: Write the proportion equation
   37,941 : 83,094 = 83,094 : x
2. Step 2: Convert to fraction form
   37,941/83,094 = 83,094/x
3. Step 3: Cross multiply
   37,941x = 83,094 × 83,094
4. Step 4: Simplify right side
   37,941x = 6,904,612,836
5. Step 5: Solve for x
   x = 6,904,612,836/37,941
6. Step 6: Final answer
   x = 181,982.89