Finding the Third Proportional to 37,306 and 80,932

Step by Step Solution

1. Step 1: Write the proportion equation
   37,306 : 80,932 = 80,932 : x
2. Step 2: Convert to fraction form
   37,306/80,932 = 80,932/x
3. Step 3: Cross multiply
   37,306x = 80,932 × 80,932
4. Step 4: Simplify right side
   37,306x = 6,549,988,624
5. Step 5: Solve for x
   x = 6,549,988,624/37,306
6. Step 6: Final answer
   x = 175,574.67