Finding the Third Proportional to 37,316 and 57,777

Step by Step Solution

1. Step 1: Write the proportion equation
   37,316 : 57,777 = 57,777 : x
2. Step 2: Convert to fraction form
   37,316/57,777 = 57,777/x
3. Step 3: Cross multiply
   37,316x = 57,777 × 57,777
4. Step 4: Simplify right side
   37,316x = 3,338,181,729
5. Step 5: Solve for x
   x = 3,338,181,729/37,316
6. Step 6: Final answer
   x = 89,457.12