Finding the Third Proportional to 37,146 and 57,543

Step by Step Solution

1. Step 1: Write the proportion equation
   37,146 : 57,543 = 57,543 : x
2. Step 2: Convert to fraction form
   37,146/57,543 = 57,543/x
3. Step 3: Cross multiply
   37,146x = 57,543 × 57,543
4. Step 4: Simplify right side
   37,146x = 3,311,196,849
5. Step 5: Solve for x
   x = 3,311,196,849/37,146
6. Step 6: Final answer
   x = 89,140.06