Finding the Third Proportional to 1,574.86 and 3,476.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,574.86 : 3,476.67 = 3,476.67 : x
2. Step 2: Convert to fraction form
   1,574.86/3,476.67 = 3,476.67/x
3. Step 3: Cross multiply
   1,574.86x = 3,476.67 × 3,476.67
4. Step 4: Simplify right side
   1,574.86x = 12,087,247.33
5. Step 5: Solve for x
   x = 12,087,247.33/1,574.86
6. Step 6: Final answer
   x = 7,675.13