Finding the Third Proportional to 6,788.25 and 10,312.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788.25 : 10,312.88 = 10,312.88 : x
2. Step 2: Convert to fraction form
   6,788.25/10,312.88 = 10,312.88/x
3. Step 3: Cross multiply
   6,788.25x = 10,312.88 × 10,312.88
4. Step 4: Simplify right side
   6,788.25x = 106,355,390.77
5. Step 5: Solve for x
   x = 106,355,390.77/6,788.25
6. Step 6: Final answer
   x = 15,667.57