Finding the Third Proportional to 36,639 and 55,476

Step by Step Solution

1. Step 1: Write the proportion equation
   36,639 : 55,476 = 55,476 : x
2. Step 2: Convert to fraction form
   36,639/55,476 = 55,476/x
3. Step 3: Cross multiply
   36,639x = 55,476 × 55,476
4. Step 4: Simplify right side
   36,639x = 3,077,586,576
5. Step 5: Solve for x
   x = 3,077,586,576/36,639
6. Step 6: Final answer
   x = 83,997.56