Finding the Third Proportional to 37,444 and 81,826

Step by Step Solution

1. Step 1: Write the proportion equation
   37,444 : 81,826 = 81,826 : x
2. Step 2: Convert to fraction form
   37,444/81,826 = 81,826/x
3. Step 3: Cross multiply
   37,444x = 81,826 × 81,826
4. Step 4: Simplify right side
   37,444x = 6,695,494,276
5. Step 5: Solve for x
   x = 6,695,494,276/37,444
6. Step 6: Final answer
   x = 178,813.54