Finding the Third Proportional to 1,530.14 and 3,376.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.14 : 3,376.27 = 3,376.27 : x
2. Step 2: Convert to fraction form
   1,530.14/3,376.27 = 3,376.27/x
3. Step 3: Cross multiply
   1,530.14x = 3,376.27 × 3,376.27
4. Step 4: Simplify right side
   1,530.14x = 11,399,169.57
5. Step 5: Solve for x
   x = 11,399,169.57/1,530.14
6. Step 6: Final answer
   x = 7,449.75