Finding the Third Proportional to 37,109 and 57,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,109 : 57,549.50 = 57,549.50 : x
2. Step 2: Convert to fraction form
   37,109/57,549.50 = 57,549.50/x
3. Step 3: Cross multiply
   37,109x = 57,549.50 × 57,549.50
4. Step 4: Simplify right side
   37,109x = 3,311,944,950.25
5. Step 5: Solve for x
   x = 3,311,944,950.25/37,109
6. Step 6: Final answer
   x = 89,249.10