Finding the Third Proportional to 37,624 and 81,824

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624 : 81,824 = 81,824 : x
2. Step 2: Convert to fraction form
   37,624/81,824 = 81,824/x
3. Step 3: Cross multiply
   37,624x = 81,824 × 81,824
4. Step 4: Simplify right side
   37,624x = 6,695,166,976
5. Step 5: Solve for x
   x = 6,695,166,976/37,624
6. Step 6: Final answer
   x = 177,949.37