Finding the Third Proportional to 1,534.78 and 3,314.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.78 : 3,314.67 = 3,314.67 : x
2. Step 2: Convert to fraction form
   1,534.78/3,314.67 = 3,314.67/x
3. Step 3: Cross multiply
   1,534.78x = 3,314.67 × 3,314.67
4. Step 4: Simplify right side
   1,534.78x = 10,987,049.64
5. Step 5: Solve for x
   x = 10,987,049.64/1,534.78
6. Step 6: Final answer
   x = 7,158.71