Finding the Third Proportional to 37,674 and 55,476

Step by Step Solution

1. Step 1: Write the proportion equation
   37,674 : 55,476 = 55,476 : x
2. Step 2: Convert to fraction form
   37,674/55,476 = 55,476/x
3. Step 3: Cross multiply
   37,674x = 55,476 × 55,476
4. Step 4: Simplify right side
   37,674x = 3,077,586,576
5. Step 5: Solve for x
   x = 3,077,586,576/37,674
6. Step 6: Final answer
   x = 81,689.93