Finding the Third Proportional to 37,552.50 and 80,435.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,552.50 : 80,435.63 = 80,435.63 : x
2. Step 2: Convert to fraction form
   37,552.50/80,435.63 = 80,435.63/x
3. Step 3: Cross multiply
   37,552.50x = 80,435.63 × 80,435.63
4. Step 4: Simplify right side
   37,552.50x = 6,469,889,769.14
5. Step 5: Solve for x
   x = 6,469,889,769.14/37,552.50
6. Step 6: Final answer
   x = 172,289.19