Finding the Third Proportional to 37,258 and 80,825

Step by Step Solution

1. Step 1: Write the proportion equation
   37,258 : 80,825 = 80,825 : x
2. Step 2: Convert to fraction form
   37,258/80,825 = 80,825/x
3. Step 3: Cross multiply
   37,258x = 80,825 × 80,825
4. Step 4: Simplify right side
   37,258x = 6,532,680,625
5. Step 5: Solve for x
   x = 6,532,680,625/37,258
6. Step 6: Final answer
   x = 175,336.32