Finding the Third Proportional to 37,860 and 57,316

Step by Step Solution

1. Step 1: Write the proportion equation
   37,860 : 57,316 = 57,316 : x
2. Step 2: Convert to fraction form
   37,860/57,316 = 57,316/x
3. Step 3: Cross multiply
   37,860x = 57,316 × 57,316
4. Step 4: Simplify right side
   37,860x = 3,285,123,856
5. Step 5: Solve for x
   x = 3,285,123,856/37,860
6. Step 6: Final answer
   x = 86,770.31