Finding the Third Proportional to 1,820 and 1,964

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820 : 1,964 = 1,964 : x
2. Step 2: Convert to fraction form
   1,820/1,964 = 1,964/x
3. Step 3: Cross multiply
   1,820x = 1,964 × 1,964
4. Step 4: Simplify right side
   1,820x = 3,857,296
5. Step 5: Solve for x
   x = 3,857,296/1,820
6. Step 6: Final answer
   x = 2,119.39