Finding the Third Proportional to 37,036 and 57,354

Step by Step Solution

1. Step 1: Write the proportion equation
   37,036 : 57,354 = 57,354 : x
2. Step 2: Convert to fraction form
   37,036/57,354 = 57,354/x
3. Step 3: Cross multiply
   37,036x = 57,354 × 57,354
4. Step 4: Simplify right side
   37,036x = 3,289,481,316
5. Step 5: Solve for x
   x = 3,289,481,316/37,036
6. Step 6: Final answer
   x = 88,818.48