Finding the Third Proportional to 37,924 and 81,662

Step by Step Solution

1. Step 1: Write the proportion equation
   37,924 : 81,662 = 81,662 : x
2. Step 2: Convert to fraction form
   37,924/81,662 = 81,662/x
3. Step 3: Cross multiply
   37,924x = 81,662 × 81,662
4. Step 4: Simplify right side
   37,924x = 6,668,682,244
5. Step 5: Solve for x
   x = 6,668,682,244/37,924
6. Step 6: Final answer
   x = 175,843.32