Finding the Third Proportional to 37,519 and 57,232

Step by Step Solution

1. Step 1: Write the proportion equation
   37,519 : 57,232 = 57,232 : x
2. Step 2: Convert to fraction form
   37,519/57,232 = 57,232/x
3. Step 3: Cross multiply
   37,519x = 57,232 × 57,232
4. Step 4: Simplify right side
   37,519x = 3,275,501,824
5. Step 5: Solve for x
   x = 3,275,501,824/37,519
6. Step 6: Final answer
   x = 87,302.48