Finding the Third Proportional to 2,132.58 and 5,128.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132.58 : 5,128.95 = 5,128.95 : x
2. Step 2: Convert to fraction form
   2,132.58/5,128.95 = 5,128.95/x
3. Step 3: Cross multiply
   2,132.58x = 5,128.95 × 5,128.95
4. Step 4: Simplify right side
   2,132.58x = 26,306,080.02
5. Step 5: Solve for x
   x = 26,306,080.02/2,132.58
6. Step 6: Final answer
   x = 12,335.34