Finding the Third Proportional to 2,275.88 and 5,506.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,275.88 : 5,506.31 = 5,506.31 : x
2. Step 2: Convert to fraction form
   2,275.88/5,506.31 = 5,506.31/x
3. Step 3: Cross multiply
   2,275.88x = 5,506.31 × 5,506.31
4. Step 4: Simplify right side
   2,275.88x = 30,319,477.35
5. Step 5: Solve for x
   x = 30,319,477.35/2,275.88
6. Step 6: Final answer
   x = 13,322.12