Finding the Third Proportional to 37,854 and 57,699

Step by Step Solution

1. Step 1: Write the proportion equation
   37,854 : 57,699 = 57,699 : x
2. Step 2: Convert to fraction form
   37,854/57,699 = 57,699/x
3. Step 3: Cross multiply
   37,854x = 57,699 × 57,699
4. Step 4: Simplify right side
   37,854x = 3,329,174,601
5. Step 5: Solve for x
   x = 3,329,174,601/37,854
6. Step 6: Final answer
   x = 87,947.76