Finding the Third Proportional to 37,764 and 82,984

Step by Step Solution

1. Step 1: Write the proportion equation
   37,764 : 82,984 = 82,984 : x
2. Step 2: Convert to fraction form
   37,764/82,984 = 82,984/x
3. Step 3: Cross multiply
   37,764x = 82,984 × 82,984
4. Step 4: Simplify right side
   37,764x = 6,886,344,256
5. Step 5: Solve for x
   x = 6,886,344,256/37,764
6. Step 6: Final answer
   x = 182,352.09