Finding the Third Proportional to 37,188 and 57,519

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 57,519 = 57,519 : x
2. Step 2: Convert to fraction form
   37,188/57,519 = 57,519/x
3. Step 3: Cross multiply
   37,188x = 57,519 × 57,519
4. Step 4: Simplify right side
   37,188x = 3,308,435,361
5. Step 5: Solve for x
   x = 3,308,435,361/37,188
6. Step 6: Final answer
   x = 88,965.13