Finding the Third Proportional to 37,144 and 77,932

Step by Step Solution

1. Step 1: Write the proportion equation
   37,144 : 77,932 = 77,932 : x
2. Step 2: Convert to fraction form
   37,144/77,932 = 77,932/x
3. Step 3: Cross multiply
   37,144x = 77,932 × 77,932
4. Step 4: Simplify right side
   37,144x = 6,073,396,624
5. Step 5: Solve for x
   x = 6,073,396,624/37,144
6. Step 6: Final answer
   x = 163,509.49