Finding the Third Proportional to 37,710 and 82,669

Step by Step Solution

1. Step 1: Write the proportion equation
   37,710 : 82,669 = 82,669 : x
2. Step 2: Convert to fraction form
   37,710/82,669 = 82,669/x
3. Step 3: Cross multiply
   37,710x = 82,669 × 82,669
4. Step 4: Simplify right side
   37,710x = 6,834,163,561
5. Step 5: Solve for x
   x = 6,834,163,561/37,710
6. Step 6: Final answer
   x = 181,229.48