Finding the Third Proportional to 37,958 and 83,308

Step by Step Solution

1. Step 1: Write the proportion equation
   37,958 : 83,308 = 83,308 : x
2. Step 2: Convert to fraction form
   37,958/83,308 = 83,308/x
3. Step 3: Cross multiply
   37,958x = 83,308 × 83,308
4. Step 4: Simplify right side
   37,958x = 6,940,222,864
5. Step 5: Solve for x
   x = 6,940,222,864/37,958
6. Step 6: Final answer
   x = 182,839.53