Finding the Third Proportional to 1,526.34 and 3,222.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.34 : 3,222.28 = 3,222.28 : x
2. Step 2: Convert to fraction form
   1,526.34/3,222.28 = 3,222.28/x
3. Step 3: Cross multiply
   1,526.34x = 3,222.28 × 3,222.28
4. Step 4: Simplify right side
   1,526.34x = 10,383,096.45
5. Step 5: Solve for x
   x = 10,383,096.45/1,526.34
6. Step 6: Final answer
   x = 6,802.59