Finding the Third Proportional to 37,009 and 54,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,009 : 54,693.50 = 54,693.50 : x
2. Step 2: Convert to fraction form
   37,009/54,693.50 = 54,693.50/x
3. Step 3: Cross multiply
   37,009x = 54,693.50 × 54,693.50
4. Step 4: Simplify right side
   37,009x = 2,991,378,942.25
5. Step 5: Solve for x
   x = 2,991,378,942.25/37,009
6. Step 6: Final answer
   x = 80,828.42