Finding the Third Proportional to 1,972.13 and 3,564.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,972.13 : 3,564.56 = 3,564.56 : x
2. Step 2: Convert to fraction form
   1,972.13/3,564.56 = 3,564.56/x
3. Step 3: Cross multiply
   1,972.13x = 3,564.56 × 3,564.56
4. Step 4: Simplify right side
   1,972.13x = 12,706,105.82
5. Step 5: Solve for x
   x = 12,706,105.82/1,972.13
6. Step 6: Final answer
   x = 6,442.85