Finding the Third Proportional to 5,978.81 and 12,894.19

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.81 : 12,894.19 = 12,894.19 : x
2. Step 2: Convert to fraction form
   5,978.81/12,894.19 = 12,894.19/x
3. Step 3: Cross multiply
   5,978.81x = 12,894.19 × 12,894.19
4. Step 4: Simplify right side
   5,978.81x = 166,260,071.29
5. Step 5: Solve for x
   x = 166,260,071.29/5,978.81
6. Step 6: Final answer
   x = 27,808.21