Finding the Third Proportional to 37,228 and 55,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,228 : 55,849.50 = 55,849.50 : x
2. Step 2: Convert to fraction form
   37,228/55,849.50 = 55,849.50/x
3. Step 3: Cross multiply
   37,228x = 55,849.50 × 55,849.50
4. Step 4: Simplify right side
   37,228x = 3,119,166,650.25
5. Step 5: Solve for x
   x = 3,119,166,650.25/37,228
6. Step 6: Final answer
   x = 83,785.50