Finding the Third Proportional to 36,639 and 57,146

Step by Step Solution

1. Step 1: Write the proportion equation
   36,639 : 57,146 = 57,146 : x
2. Step 2: Convert to fraction form
   36,639/57,146 = 57,146/x
3. Step 3: Cross multiply
   36,639x = 57,146 × 57,146
4. Step 4: Simplify right side
   36,639x = 3,265,665,316
5. Step 5: Solve for x
   x = 3,265,665,316/36,639
6. Step 6: Final answer
   x = 89,130.85