Finding the Third Proportional to 5,938.88 and 12,980.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,938.88 : 12,980.81 = 12,980.81 : x
2. Step 2: Convert to fraction form
   5,938.88/12,980.81 = 12,980.81/x
3. Step 3: Cross multiply
   5,938.88x = 12,980.81 × 12,980.81
4. Step 4: Simplify right side
   5,938.88x = 168,501,493.16
5. Step 5: Solve for x
   x = 168,501,493.16/5,938.88
6. Step 6: Final answer
   x = 28,372.63