Finding the Third Proportional to 37,444 and 81,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,444 : 81,921.50 = 81,921.50 : x
2. Step 2: Convert to fraction form
   37,444/81,921.50 = 81,921.50/x
3. Step 3: Cross multiply
   37,444x = 81,921.50 × 81,921.50
4. Step 4: Simplify right side
   37,444x = 6,711,132,162.25
5. Step 5: Solve for x
   x = 6,711,132,162.25/37,444
6. Step 6: Final answer
   x = 179,231.18