Finding the Third Proportional to 37,665 and 55,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665 : 55,363.50 = 55,363.50 : x
2. Step 2: Convert to fraction form
   37,665/55,363.50 = 55,363.50/x
3. Step 3: Cross multiply
   37,665x = 55,363.50 × 55,363.50
4. Step 4: Simplify right side
   37,665x = 3,065,117,132.25
5. Step 5: Solve for x
   x = 3,065,117,132.25/37,665
6. Step 6: Final answer
   x = 81,378.39