Finding the Third Proportional to 37,021 and 52,762

Step by Step Solution

1. Step 1: Write the proportion equation
   37,021 : 52,762 = 52,762 : x
2. Step 2: Convert to fraction form
   37,021/52,762 = 52,762/x
3. Step 3: Cross multiply
   37,021x = 52,762 × 52,762
4. Step 4: Simplify right side
   37,021x = 2,783,828,644
5. Step 5: Solve for x
   x = 2,783,828,644/37,021
6. Step 6: Final answer
   x = 75,195.93