Finding the Third Proportional to 37,640 and 55,045

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640 : 55,045 = 55,045 : x
2. Step 2: Convert to fraction form
   37,640/55,045 = 55,045/x
3. Step 3: Cross multiply
   37,640x = 55,045 × 55,045
4. Step 4: Simplify right side
   37,640x = 3,029,952,025
5. Step 5: Solve for x
   x = 3,029,952,025/37,640
6. Step 6: Final answer
   x = 80,498.19