Finding the Third Proportional to 37,658 and 80,320

Step by Step Solution

1. Step 1: Write the proportion equation
   37,658 : 80,320 = 80,320 : x
2. Step 2: Convert to fraction form
   37,658/80,320 = 80,320/x
3. Step 3: Cross multiply
   37,658x = 80,320 × 80,320
4. Step 4: Simplify right side
   37,658x = 6,451,302,400
5. Step 5: Solve for x
   x = 6,451,302,400/37,658
6. Step 6: Final answer
   x = 171,312.93