Finding the Third Proportional to 37,936.50 and 54,645

Step by Step Solution

1. Step 1: Write the proportion equation
   37,936.50 : 54,645 = 54,645 : x
2. Step 2: Convert to fraction form
   37,936.50/54,645 = 54,645/x
3. Step 3: Cross multiply
   37,936.50x = 54,645 × 54,645
4. Step 4: Simplify right side
   37,936.50x = 2,986,076,025
5. Step 5: Solve for x
   x = 2,986,076,025/37,936.50
6. Step 6: Final answer
   x = 78,712.48