Finding the Third Proportional to 37,423.25 and 80,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,423.25 : 80,678.50 = 80,678.50 : x
2. Step 2: Convert to fraction form
   37,423.25/80,678.50 = 80,678.50/x
3. Step 3: Cross multiply
   37,423.25x = 80,678.50 × 80,678.50
4. Step 4: Simplify right side
   37,423.25x = 6,509,020,362.25
5. Step 5: Solve for x
   x = 6,509,020,362.25/37,423.25
6. Step 6: Final answer
   x = 173,929.85