Finding the Third Proportional to 5,788.50 and 12,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,788.50 : 12,814.50 = 12,814.50 : x
2. Step 2: Convert to fraction form
   5,788.50/12,814.50 = 12,814.50/x
3. Step 3: Cross multiply
   5,788.50x = 12,814.50 × 12,814.50
4. Step 4: Simplify right side
   5,788.50x = 164,211,410.25
5. Step 5: Solve for x
   x = 164,211,410.25/5,788.50
6. Step 6: Final answer
   x = 28,368.56