Finding the Third Proportional to 37,789 and 80,680

Step by Step Solution

1. Step 1: Write the proportion equation
   37,789 : 80,680 = 80,680 : x
2. Step 2: Convert to fraction form
   37,789/80,680 = 80,680/x
3. Step 3: Cross multiply
   37,789x = 80,680 × 80,680
4. Step 4: Simplify right side
   37,789x = 6,509,262,400
5. Step 5: Solve for x
   x = 6,509,262,400/37,789
6. Step 6: Final answer
   x = 172,252.84