Finding the Third Proportional to 5,148.56 and 12,182.91

Step by Step Solution

1. Step 1: Write the proportion equation
   5,148.56 : 12,182.91 = 12,182.91 : x
2. Step 2: Convert to fraction form
   5,148.56/12,182.91 = 12,182.91/x
3. Step 3: Cross multiply
   5,148.56x = 12,182.91 × 12,182.91
4. Step 4: Simplify right side
   5,148.56x = 148,423,204.70
5. Step 5: Solve for x
   x = 148,423,204.70/5,148.56
6. Step 6: Final answer
   x = 28,828.09