Finding the Third Proportional to 37,644.75 and 55,424.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644.75 : 55,424.25 = 55,424.25 : x
2. Step 2: Convert to fraction form
   37,644.75/55,424.25 = 55,424.25/x
3. Step 3: Cross multiply
   37,644.75x = 55,424.25 × 55,424.25
4. Step 4: Simplify right side
   37,644.75x = 3,071,847,488.06
5. Step 5: Solve for x
   x = 3,071,847,488.06/37,644.75
6. Step 6: Final answer
   x = 81,600.95