Finding the Third Proportional to 5,891.06 and 12,823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,891.06 : 12,823.31 = 12,823.31 : x
2. Step 2: Convert to fraction form
   5,891.06/12,823.31 = 12,823.31/x
3. Step 3: Cross multiply
   5,891.06x = 12,823.31 × 12,823.31
4. Step 4: Simplify right side
   5,891.06x = 164,437,343.47
5. Step 5: Solve for x
   x = 164,437,343.47/5,891.06
6. Step 6: Final answer
   x = 27,913.02