Finding the Third Proportional to 37,434 and 81,338

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434 : 81,338 = 81,338 : x
2. Step 2: Convert to fraction form
   37,434/81,338 = 81,338/x
3. Step 3: Cross multiply
   37,434x = 81,338 × 81,338
4. Step 4: Simplify right side
   37,434x = 6,615,870,244
5. Step 5: Solve for x
   x = 6,615,870,244/37,434
6. Step 6: Final answer
   x = 176,734.26