Finding the Third Proportional to 37,476 and 86,762

Step by Step Solution

1. Step 1: Write the proportion equation
   37,476 : 86,762 = 86,762 : x
2. Step 2: Convert to fraction form
   37,476/86,762 = 86,762/x
3. Step 3: Cross multiply
   37,476x = 86,762 × 86,762
4. Step 4: Simplify right side
   37,476x = 7,527,644,644
5. Step 5: Solve for x
   x = 7,527,644,644/37,476
6. Step 6: Final answer
   x = 200,865.74