Finding the Third Proportional to 37,441 and 81,932

Step by Step Solution

1. Step 1: Write the proportion equation
   37,441 : 81,932 = 81,932 : x
2. Step 2: Convert to fraction form
   37,441/81,932 = 81,932/x
3. Step 3: Cross multiply
   37,441x = 81,932 × 81,932
4. Step 4: Simplify right side
   37,441x = 6,712,852,624
5. Step 5: Solve for x
   x = 6,712,852,624/37,441
6. Step 6: Final answer
   x = 179,291.49