Finding the Third Proportional to 5,977.50 and 13,064.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,977.50 : 13,064.25 = 13,064.25 : x
2. Step 2: Convert to fraction form
   5,977.50/13,064.25 = 13,064.25/x
3. Step 3: Cross multiply
   5,977.50x = 13,064.25 × 13,064.25
4. Step 4: Simplify right side
   5,977.50x = 170,674,628.06
5. Step 5: Solve for x
   x = 170,674,628.06/5,977.50
6. Step 6: Final answer
   x = 28,552.84