Finding the Third Proportional to 20,820 and 37,032

Step by Step Solution

1. Step 1: Write the proportion equation
   20,820 : 37,032 = 37,032 : x
2. Step 2: Convert to fraction form
   20,820/37,032 = 37,032/x
3. Step 3: Cross multiply
   20,820x = 37,032 × 37,032
4. Step 4: Simplify right side
   20,820x = 1,371,369,024
5. Step 5: Solve for x
   x = 1,371,369,024/20,820
6. Step 6: Final answer
   x = 65,867.87