Finding the Third Proportional to 37,584 and 55,255

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 55,255 = 55,255 : x
2. Step 2: Convert to fraction form
   37,584/55,255 = 55,255/x
3. Step 3: Cross multiply
   37,584x = 55,255 × 55,255
4. Step 4: Simplify right side
   37,584x = 3,053,115,025
5. Step 5: Solve for x
   x = 3,053,115,025/37,584
6. Step 6: Final answer
   x = 81,234.44