Finding the Third Proportional to 37,944 and 54,652.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944 : 54,652.50 = 54,652.50 : x
2. Step 2: Convert to fraction form
   37,944/54,652.50 = 54,652.50/x
3. Step 3: Cross multiply
   37,944x = 54,652.50 × 54,652.50
4. Step 4: Simplify right side
   37,944x = 2,986,895,756.25
5. Step 5: Solve for x
   x = 2,986,895,756.25/37,944
6. Step 6: Final answer
   x = 78,718.53