Finding the Third Proportional to 37,794 and 80,688

Step by Step Solution

1. Step 1: Write the proportion equation
   37,794 : 80,688 = 80,688 : x
2. Step 2: Convert to fraction form
   37,794/80,688 = 80,688/x
3. Step 3: Cross multiply
   37,794x = 80,688 × 80,688
4. Step 4: Simplify right side
   37,794x = 6,510,553,344
5. Step 5: Solve for x
   x = 6,510,553,344/37,794
6. Step 6: Final answer
   x = 172,264.20