Finding the Third Proportional to 37,888 and 55,456

Step by Step Solution

1. Step 1: Write the proportion equation
   37,888 : 55,456 = 55,456 : x
2. Step 2: Convert to fraction form
   37,888/55,456 = 55,456/x
3. Step 3: Cross multiply
   37,888x = 55,456 × 55,456
4. Step 4: Simplify right side
   37,888x = 3,075,367,936
5. Step 5: Solve for x
   x = 3,075,367,936/37,888
6. Step 6: Final answer
   x = 81,169.97