Finding the Third Proportional to 5,978.18 and 13,091.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.18 : 13,091.63 = 13,091.63 : x
2. Step 2: Convert to fraction form
   5,978.18/13,091.63 = 13,091.63/x
3. Step 3: Cross multiply
   5,978.18x = 13,091.63 × 13,091.63
4. Step 4: Simplify right side
   5,978.18x = 171,390,645.14
5. Step 5: Solve for x
   x = 171,390,645.14/5,978.18
6. Step 6: Final answer
   x = 28,669.37