Finding the Third Proportional to 37,226.25 and 80,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,226.25 : 80,284.50 = 80,284.50 : x
2. Step 2: Convert to fraction form
   37,226.25/80,284.50 = 80,284.50/x
3. Step 3: Cross multiply
   37,226.25x = 80,284.50 × 80,284.50
4. Step 4: Simplify right side
   37,226.25x = 6,445,600,940.25
5. Step 5: Solve for x
   x = 6,445,600,940.25/37,226.25
6. Step 6: Final answer
   x = 173,146.66