Finding the Third Proportional to 37,976 and 83,344

Step by Step Solution

1. Step 1: Write the proportion equation
   37,976 : 83,344 = 83,344 : x
2. Step 2: Convert to fraction form
   37,976/83,344 = 83,344/x
3. Step 3: Cross multiply
   37,976x = 83,344 × 83,344
4. Step 4: Simplify right side
   37,976x = 6,946,222,336
5. Step 5: Solve for x
   x = 6,946,222,336/37,976
6. Step 6: Final answer
   x = 182,910.85