Finding the Third Proportional to 37,399 and 81,838

Step by Step Solution

1. Step 1: Write the proportion equation
   37,399 : 81,838 = 81,838 : x
2. Step 2: Convert to fraction form
   37,399/81,838 = 81,838/x
3. Step 3: Cross multiply
   37,399x = 81,838 × 81,838
4. Step 4: Simplify right side
   37,399x = 6,697,458,244
5. Step 5: Solve for x
   x = 6,697,458,244/37,399
6. Step 6: Final answer
   x = 179,081.21